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Finding the Fourth Proportional to 412,737.91, 569,569.43 and 231,445.86

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Solution

The fourth proportional to 412,737.91, 569,569.43 and 231,445.86 is: 319,390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,737.91 : 569,569.43 = 231,445.86 : x
  2. Step 2: Convert to fraction form
    412,737.91/569,569.43 = 231,445.86/x
  3. Step 3: Cross multiply
    412,737.91x = 569,569.43 × 231,445.86
  4. Step 4: Simplify right side
    412,737.91x = 131,824,487,134.67
  5. Step 5: Solve for x
    x = 131,824,487,134.67/412,737.91
  6. Step 6: Final answer
    x = 319,390.30

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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.