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Finding the Fourth Proportional to 396,120.38, 546,646.12 and 226,387.31

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Solution

The fourth proportional to 396,120.38, 546,646.12 and 226,387.31 is: 312,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,120.38 : 546,646.12 = 226,387.31 : x
  2. Step 2: Convert to fraction form
    396,120.38/546,646.12 = 226,387.31/x
  3. Step 3: Cross multiply
    396,120.38x = 546,646.12 × 226,387.31
  4. Step 4: Simplify right side
    396,120.38x = 123,753,741,329.54
  5. Step 5: Solve for x
    x = 123,753,741,329.54/396,120.38
  6. Step 6: Final answer
    x = 312,414.48

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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.