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Finding the Fourth Proportional to 331,834.54, 497,753.79 and 82,516.54

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Solution

The fourth proportional to 331,834.54, 497,753.79 and 82,516.54 is: 123,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,834.54 : 497,753.79 = 82,516.54 : x
  2. Step 2: Convert to fraction form
    331,834.54/497,753.79 = 82,516.54/x
  3. Step 3: Cross multiply
    331,834.54x = 497,753.79 × 82,516.54
  4. Step 4: Simplify right side
    331,834.54x = 41,072,920,522.69
  5. Step 5: Solve for x
    x = 41,072,920,522.69/331,834.54
  6. Step 6: Final answer
    x = 123,775.30

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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.