yoteihyou wo kazoku to kyouyuusita node, yoteidoori ni ugokerukoto ni natta.

It has a reason + result structure:

• 予定表を家族と共有したので = because/since I shared the schedule with my family
• 予定通りに動けることになった = it came to be that I/we could act according to plan

So the sentence is built like:

[Reason] ので、[Result]

This is a very common pattern in Japanese.

を marks the direct object of the verb 共有した.

So:

• 予定表を共有した = shared the schedule

The thing being shared is 予定表, so it takes を.

Here と means with, not and.

• 家族と共有した = shared it with my family

With 共有する, the person you share something with is often marked by と.

So:

• 予定表を家族と共有した = shared the schedule with my family

This sounds more mutual than a one-way action like simply telling them.

共有する means to share, to share information, or to have something in common/access together.

In this sentence, it means something like:

• sharing the schedule
• making the schedule known to everyone
• making it available to the family

So it is not just I told them once. It suggests that the schedule became something the family could refer to together.

Both can mean because, but ので sounds a bit softer and more explanatory.

• ので = because/since, in a more neutral or explanatory way
• から = because, often a little more direct or assertive

So:

• 予定表を家族と共有したので sounds like a calm explanation:
  Since I shared the schedule with my family...

If you used から, it would still be grammatical, but the tone would be slightly more direct.

予定通り means as scheduled, according to plan, or just as planned.

• 予定 = plan, schedule
• 通り = in accordance with, just like

So:

• 予定通りに動ける = be able to act according to the schedule / proceed as planned

The に turns 予定通り into an adverbial expression modifying 動ける.

動ける is the potential form of 動く.

• 動く = to move, to act, to operate, to make a move
• 動ける = can move, can act, can proceed

Here 動く does not necessarily mean literal physical movement. It often means:

• act
• proceed
• function
• make arrangements work

So 予定通りに動ける means be able to proceed as scheduled.

The sentence is saying that after sharing the schedule, it became possible to act according to the plan.

Not necessarily. In many situations, 動く is broader than literal movement.

It can mean things like:

• to act
• to make progress
• to proceed
• to operate according to a plan

So in this sentence, 動ける probably means something like:

• we can now proceed as planned
• we can coordinate our actions according to the schedule

It is more about organized action than about simply walking around.

ことになった literally means something like:

• it became the case that...
• it was decided that...
• it turned out that...

In this sentence, it gives the sense that, as a result of sharing the schedule, the situation changed and now the plan can be followed.

So:

• 予定通りに動けることになった = it turned out that we could proceed as scheduled / it came to be that we could act according to plan

This expression often focuses on the resulting situation, rather than just someone’s personal ability.

That is a very good question, because learners often compare these.

• 〜ようになった often emphasizes that a new ability or habit developed
  
  • 日本語が話せるようになった = I became able to speak Japanese
• 〜ことになった often emphasizes a resulting arrangement, decision, or state of affairs
  
  • 来月転勤することになった = It has been decided that I will transfer next month

In this sentence, ことになった makes the result sound more like an outcome of circumstances or coordination.

If you said:

• 予定通りに動けるようになった

that would focus more directly on becoming able to do it.

If you say:

• 予定通りに動けることになった

it sounds more like that is how things ended up / that became the arrangement.

Because both are viewed as completed events from the speaker’s perspective.

• 共有した = the sharing happened
• なった = as a result, the situation changed

Japanese past tense often marks a completed change or event, even if the result still continues now.

So the timeline is:

1. the schedule was shared
2. because of that, it became possible to proceed as planned

The subject is omitted, which is very normal in Japanese.

Depending on context, it could mean:

• I
• we
• our family
• everyone involved

Japanese often leaves out the subject when it is already understood from the situation.

In English, you usually have to choose one, but in Japanese the sentence can stay more flexible.

They are related, but not identical.

• 予定表 = a schedule sheet, timetable, calendar, written schedule
• 予定 = plans, schedule, intended plan
• 予定通り = according to the plan/schedule

So the sentence is not repeating the exact same word.

• 予定表を共有した = shared the actual schedule/calendar
• 予定通りに = according to the plan

That is a very natural combination.

Yes, it is understandable and natural, especially in a written or explanatory style.

It has a slightly formal or organized feel because of words like:

• 共有した
• 予定通りに
• ことになった

In casual speech, some people might say something slightly simpler, depending on what they want to emphasize, for example:

• 予定表を家族と共有したので、予定通りに動けるようになった。

This version focuses a bit more on becoming able to proceed as planned.

But your original sentence is perfectly reasonable.