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Finding the Fourth Proportional to 392,512.80, 588,769.20 and 259,543.20

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Solution

The fourth proportional to 392,512.80, 588,769.20 and 259,543.20 is: 389,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,512.80 : 588,769.20 = 259,543.20 : x
  2. Step 2: Convert to fraction form
    392,512.80/588,769.20 = 259,543.20/x
  3. Step 3: Cross multiply
    392,512.80x = 588,769.20 × 259,543.20
  4. Step 4: Simplify right side
    392,512.80x = 152,811,042,229.44
  5. Step 5: Solve for x
    x = 152,811,042,229.44/392,512.80
  6. Step 6: Final answer
    x = 389,314.80

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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.