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Finding the Fourth Proportional to 331,806.96, 497,712.26 and 82,488.96

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Solution

The fourth proportional to 331,806.96, 497,712.26 and 82,488.96 is: 123,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,806.96 : 497,712.26 = 82,488.96 : x
  2. Step 2: Convert to fraction form
    331,806.96/497,712.26 = 82,488.96/x
  3. Step 3: Cross multiply
    331,806.96x = 497,712.26 × 82,488.96
  4. Step 4: Simplify right side
    331,806.96x = 41,055,766,912.87
  5. Step 5: Solve for x
    x = 41,055,766,912.87/331,806.96
  6. Step 6: Final answer
    x = 123,733.89

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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.