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Finding the Fourth Proportional to 392,484.80, 588,727.20 and 96,996.80

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Solution

The fourth proportional to 392,484.80, 588,727.20 and 96,996.80 is: 145,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,484.80 : 588,727.20 = 96,996.80 : x
  2. Step 2: Convert to fraction form
    392,484.80/588,727.20 = 96,996.80/x
  3. Step 3: Cross multiply
    392,484.80x = 588,727.20 × 96,996.80
  4. Step 4: Simplify right side
    392,484.80x = 57,104,654,472.96
  5. Step 5: Solve for x
    x = 57,104,654,472.96/392,484.80
  6. Step 6: Final answer
    x = 145,495.20

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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.