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Finding the Fourth Proportional to 392,200.70, 588,301.05 and 392,200.70

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Solution

The fourth proportional to 392,200.70, 588,301.05 and 392,200.70 is: 588,301.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,200.70 : 588,301.05 = 392,200.70 : x
  2. Step 2: Convert to fraction form
    392,200.70/588,301.05 = 392,200.70/x
  3. Step 3: Cross multiply
    392,200.70x = 588,301.05 × 392,200.70
  4. Step 4: Simplify right side
    392,200.70x = 230,732,083,620.74
  5. Step 5: Solve for x
    x = 230,732,083,620.74/392,200.70
  6. Step 6: Final answer
    x = 588,301.05

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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.