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Finding the Fourth Proportional to 671,945.76, 927,217.85 and 413,781.30

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Solution

The fourth proportional to 671,945.76, 927,217.85 and 413,781.30 is: 570,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,945.76 : 927,217.85 = 413,781.30 : x
  2. Step 2: Convert to fraction form
    671,945.76/927,217.85 = 413,781.30/x
  3. Step 3: Cross multiply
    671,945.76x = 927,217.85 × 413,781.30
  4. Step 4: Simplify right side
    671,945.76x = 383,665,405,287.30
  5. Step 5: Solve for x
    x = 383,665,405,287.30/671,945.76
  6. Step 6: Final answer
    x = 570,976.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.