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Finding the Fourth Proportional to 422,224.38, 582,525.09 and 240,805.92

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Solution

The fourth proportional to 422,224.38, 582,525.09 and 240,805.92 is: 332,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,224.38 : 582,525.09 = 240,805.92 : x
  2. Step 2: Convert to fraction form
    422,224.38/582,525.09 = 240,805.92/x
  3. Step 3: Cross multiply
    422,224.38x = 582,525.09 × 240,805.92
  4. Step 4: Simplify right side
    422,224.38x = 140,275,490,220.53
  5. Step 5: Solve for x
    x = 140,275,490,220.53/422,224.38
  6. Step 6: Final answer
    x = 332,229.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.