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Finding the Fourth Proportional to 331,337.70, 497,006.55 and 82,019.70

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Solution

The fourth proportional to 331,337.70, 497,006.55 and 82,019.70 is: 123,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,337.70 : 497,006.55 = 82,019.70 : x
  2. Step 2: Convert to fraction form
    331,337.70/497,006.55 = 82,019.70/x
  3. Step 3: Cross multiply
    331,337.70x = 497,006.55 × 82,019.70
  4. Step 4: Simplify right side
    331,337.70x = 40,764,328,129.04
  5. Step 5: Solve for x
    x = 40,764,328,129.04/331,337.70
  6. Step 6: Final answer
    x = 123,029.55

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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.