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Finding the Fourth Proportional to 392,002.80, 588,004.20 and 252,034.80

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Solution

The fourth proportional to 392,002.80, 588,004.20 and 252,034.80 is: 378,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,002.80 : 588,004.20 = 252,034.80 : x
  2. Step 2: Convert to fraction form
    392,002.80/588,004.20 = 252,034.80/x
  3. Step 3: Cross multiply
    392,002.80x = 588,004.20 × 252,034.80
  4. Step 4: Simplify right side
    392,002.80x = 148,197,520,946.16
  5. Step 5: Solve for x
    x = 148,197,520,946.16/392,002.80
  6. Step 6: Final answer
    x = 378,052.20

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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.