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Finding the Fourth Proportional to 415,202.08, 572,860.35 and 233,850.64

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Solution

The fourth proportional to 415,202.08, 572,860.35 and 233,850.64 is: 322,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,202.08 : 572,860.35 = 233,850.64 : x
  2. Step 2: Convert to fraction form
    415,202.08/572,860.35 = 233,850.64/x
  3. Step 3: Cross multiply
    415,202.08x = 572,860.35 × 233,850.64
  4. Step 4: Simplify right side
    415,202.08x = 133,963,759,478.12
  5. Step 5: Solve for x
    x = 133,963,759,478.12/415,202.08
  6. Step 6: Final answer
    x = 322,647.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.