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Finding the Fourth Proportional to 331,760.88, 497,641.19 and 82,442.88

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Solution

The fourth proportional to 331,760.88, 497,641.19 and 82,442.88 is: 123,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,760.88 : 497,641.19 = 82,442.88 : x
  2. Step 2: Convert to fraction form
    331,760.88/497,641.19 = 82,442.88/x
  3. Step 3: Cross multiply
    331,760.88x = 497,641.19 × 82,442.88
  4. Step 4: Simplify right side
    331,760.88x = 41,026,972,498.01
  5. Step 5: Solve for x
    x = 41,026,972,498.01/331,760.88
  6. Step 6: Final answer
    x = 123,664.29

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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.