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Finding the Fourth Proportional to 337,691.75, 506,286.12 and 204,539.90

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Solution

The fourth proportional to 337,691.75, 506,286.12 and 204,539.90 is: 306,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,691.75 : 506,286.12 = 204,539.90 : x
  2. Step 2: Convert to fraction form
    337,691.75/506,286.12 = 204,539.90/x
  3. Step 3: Cross multiply
    337,691.75x = 506,286.12 × 204,539.90
  4. Step 4: Simplify right side
    337,691.75x = 103,555,710,067.77
  5. Step 5: Solve for x
    x = 103,555,710,067.77/337,691.75
  6. Step 6: Final answer
    x = 306,657.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.