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Finding the Fourth Proportional to 413,078.94, 570,002.67 and 231,753.15

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Solution

The fourth proportional to 413,078.94, 570,002.67 and 231,753.15 is: 319,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,078.94 : 570,002.67 = 231,753.15 : x
  2. Step 2: Convert to fraction form
    413,078.94/570,002.67 = 231,753.15/x
  3. Step 3: Cross multiply
    413,078.94x = 570,002.67 × 231,753.15
  4. Step 4: Simplify right side
    413,078.94x = 132,099,914,280.91
  5. Step 5: Solve for x
    x = 132,099,914,280.91/413,078.94
  6. Step 6: Final answer
    x = 319,793.39

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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.