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Finding the Fourth Proportional to 331,754.60, 497,631.90 and 82,436.60

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Solution

The fourth proportional to 331,754.60, 497,631.90 and 82,436.60 is: 123,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,754.60 : 497,631.90 = 82,436.60 : x
  2. Step 2: Convert to fraction form
    331,754.60/497,631.90 = 82,436.60/x
  3. Step 3: Cross multiply
    331,754.60x = 497,631.90 × 82,436.60
  4. Step 4: Simplify right side
    331,754.60x = 41,023,081,887.54
  5. Step 5: Solve for x
    x = 41,023,081,887.54/331,754.60
  6. Step 6: Final answer
    x = 123,654.90

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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.