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Finding the Fourth Proportional to 415,965.38, 574,030.53 and 234,677.30

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Solution

The fourth proportional to 415,965.38, 574,030.53 and 234,677.30 is: 323,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,965.38 : 574,030.53 = 234,677.30 : x
  2. Step 2: Convert to fraction form
    415,965.38/574,030.53 = 234,677.30/x
  3. Step 3: Cross multiply
    415,965.38x = 574,030.53 × 234,677.30
  4. Step 4: Simplify right side
    415,965.38x = 134,711,934,897.97
  5. Step 5: Solve for x
    x = 134,711,934,897.97/415,965.38
  6. Step 6: Final answer
    x = 323,853.72

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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.