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Finding the Fourth Proportional to 392,514.80, 588,772.20 and 202,974.80

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Solution

The fourth proportional to 392,514.80, 588,772.20 and 202,974.80 is: 304,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,514.80 : 588,772.20 = 202,974.80 : x
  2. Step 2: Convert to fraction form
    392,514.80/588,772.20 = 202,974.80/x
  3. Step 3: Cross multiply
    392,514.80x = 588,772.20 × 202,974.80
  4. Step 4: Simplify right side
    392,514.80x = 119,505,919,540.56
  5. Step 5: Solve for x
    x = 119,505,919,540.56/392,514.80
  6. Step 6: Final answer
    x = 304,462.20

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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.