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Finding the Fourth Proportional to 422,182.26, 582,591.42 and 231,196.68

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Solution

The fourth proportional to 422,182.26, 582,591.42 and 231,196.68 is: 319,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,182.26 : 582,591.42 = 231,196.68 : x
  2. Step 2: Convert to fraction form
    422,182.26/582,591.42 = 231,196.68/x
  3. Step 3: Cross multiply
    422,182.26x = 582,591.42 × 231,196.68
  4. Step 4: Simplify right side
    422,182.26x = 134,693,202,100.49
  5. Step 5: Solve for x
    x = 134,693,202,100.49/422,182.26
  6. Step 6: Final answer
    x = 319,040.41

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