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Finding the Fourth Proportional to 331,766.91, 497,650.37 and 82,448.91

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Solution

The fourth proportional to 331,766.91, 497,650.37 and 82,448.91 is: 123,673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,766.91 : 497,650.37 = 82,448.91 : x
  2. Step 2: Convert to fraction form
    331,766.91/497,650.37 = 82,448.91/x
  3. Step 3: Cross multiply
    331,766.91x = 497,650.37 × 82,448.91
  4. Step 4: Simplify right side
    331,766.91x = 41,030,730,155.35
  5. Step 5: Solve for x
    x = 41,030,730,155.35/331,766.91
  6. Step 6: Final answer
    x = 123,673.37

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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.