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Finding the Fourth Proportional to 422,067.38, 582,508.56 and 240,737.74

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Solution

The fourth proportional to 422,067.38, 582,508.56 and 240,737.74 is: 332,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,067.38 : 582,508.56 = 240,737.74 : x
  2. Step 2: Convert to fraction form
    422,067.38/582,508.56 = 240,737.74/x
  3. Step 3: Cross multiply
    422,067.38x = 582,508.56 × 240,737.74
  4. Step 4: Simplify right side
    422,067.38x = 140,231,793,711.55
  5. Step 5: Solve for x
    x = 140,231,793,711.55/422,067.38
  6. Step 6: Final answer
    x = 332,249.78

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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.