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Finding the Fourth Proportional to 331,805.80, 497,710.56 and 82,487.80

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Solution

The fourth proportional to 331,805.80, 497,710.56 and 82,487.80 is: 123,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,805.80 : 497,710.56 = 82,487.80 : x
  2. Step 2: Convert to fraction form
    331,805.80/497,710.56 = 82,487.80/x
  3. Step 3: Cross multiply
    331,805.80x = 497,710.56 × 82,487.80
  4. Step 4: Simplify right side
    331,805.80x = 41,055,049,131.17
  5. Step 5: Solve for x
    x = 41,055,049,131.17/331,805.80
  6. Step 6: Final answer
    x = 123,732.16

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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.