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Finding the Fourth Proportional to 422,010.95, 582,375.13 and 231,024.33

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Solution

The fourth proportional to 422,010.95, 582,375.13 and 231,024.33 is: 318,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,010.95 : 582,375.13 = 231,024.33 : x
  2. Step 2: Convert to fraction form
    422,010.95/582,375.13 = 231,024.33/x
  3. Step 3: Cross multiply
    422,010.95x = 582,375.13 × 231,024.33
  4. Step 4: Simplify right side
    422,010.95x = 134,542,823,639.35
  5. Step 5: Solve for x
    x = 134,542,823,639.35/422,010.95
  6. Step 6: Final answer
    x = 318,813.59

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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.