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Finding the Fourth Proportional to 331,864.69, 497,796.09 and 82,546.69

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Solution

The fourth proportional to 331,864.69, 497,796.09 and 82,546.69 is: 123,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,864.69 : 497,796.09 = 82,546.69 : x
  2. Step 2: Convert to fraction form
    331,864.69/497,796.09 = 82,546.69/x
  3. Step 3: Cross multiply
    331,864.69x = 497,796.09 × 82,546.69
  4. Step 4: Simplify right side
    331,864.69x = 41,091,419,524.44
  5. Step 5: Solve for x
    x = 41,091,419,524.44/331,864.69
  6. Step 6: Final answer
    x = 123,819.80

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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.