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Finding the Fourth Proportional to 331,750.27, 497,625.72 and 82,432.27

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Solution

The fourth proportional to 331,750.27, 497,625.72 and 82,432.27 is: 123,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,750.27 : 497,625.72 = 82,432.27 : x
  2. Step 2: Convert to fraction form
    331,750.27/497,625.72 = 82,432.27/x
  3. Step 3: Cross multiply
    331,750.27x = 497,625.72 × 82,432.27
  4. Step 4: Simplify right side
    331,750.27x = 41,020,417,709.98
  5. Step 5: Solve for x
    x = 41,020,417,709.98/331,750.27
  6. Step 6: Final answer
    x = 123,648.48

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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.