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Finding the Fourth Proportional to 392,147, 588,220.56 and 96,659

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Solution

The fourth proportional to 392,147, 588,220.56 and 96,659 is: 144,988.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,147 : 588,220.56 = 96,659 : x
  2. Step 2: Convert to fraction form
    392,147/588,220.56 = 96,659/x
  3. Step 3: Cross multiply
    392,147x = 588,220.56 × 96,659
  4. Step 4: Simplify right side
    392,147x = 56,856,811,109.04
  5. Step 5: Solve for x
    x = 56,856,811,109.04/392,147
  6. Step 6: Final answer
    x = 144,988.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.