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Finding the Fourth Proportional to 331,542.80, 497,314.20 and 82,224.80

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Solution

The fourth proportional to 331,542.80, 497,314.20 and 82,224.80 is: 123,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,542.80 : 497,314.20 = 82,224.80 : x
  2. Step 2: Convert to fraction form
    331,542.80/497,314.20 = 82,224.80/x
  3. Step 3: Cross multiply
    331,542.80x = 497,314.20 × 82,224.80
  4. Step 4: Simplify right side
    331,542.80x = 40,891,560,632.16
  5. Step 5: Solve for x
    x = 40,891,560,632.16/331,542.80
  6. Step 6: Final answer
    x = 123,337.20

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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.