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Finding the Fourth Proportional to 415,966.10, 574,019.97 and 234,675.60

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Solution

The fourth proportional to 415,966.10, 574,019.97 and 234,675.60 is: 323,844.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,966.10 : 574,019.97 = 234,675.60 : x
  2. Step 2: Convert to fraction form
    415,966.10/574,019.97 = 234,675.60/x
  3. Step 3: Cross multiply
    415,966.10x = 574,019.97 × 234,675.60
  4. Step 4: Simplify right side
    415,966.10x = 134,708,480,871.73
  5. Step 5: Solve for x
    x = 134,708,480,871.73/415,966.10
  6. Step 6: Final answer
    x = 323,844.86

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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.