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Finding the Fourth Proportional to 392,349.17, 588,520.92 and 259,822.64

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Solution

The fourth proportional to 392,349.17, 588,520.92 and 259,822.64 is: 389,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,349.17 : 588,520.92 = 259,822.64 : x
  2. Step 2: Convert to fraction form
    392,349.17/588,520.92 = 259,822.64/x
  3. Step 3: Cross multiply
    392,349.17x = 588,520.92 × 259,822.64
  4. Step 4: Simplify right side
    392,349.17x = 152,911,061,575.27
  5. Step 5: Solve for x
    x = 152,911,061,575.27/392,349.17
  6. Step 6: Final answer
    x = 389,732.09

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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.