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Finding the Fourth Proportional to 422,367.44, 582,881.54 and 231,380.78

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Solution

The fourth proportional to 422,367.44, 582,881.54 and 231,380.78 is: 319,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,367.44 : 582,881.54 = 231,380.78 : x
  2. Step 2: Convert to fraction form
    422,367.44/582,881.54 = 231,380.78/x
  3. Step 3: Cross multiply
    422,367.44x = 582,881.54 × 231,380.78
  4. Step 4: Simplify right side
    422,367.44x = 134,867,581,301.49
  5. Step 5: Solve for x
    x = 134,867,581,301.49/422,367.44
  6. Step 6: Final answer
    x = 319,313.40

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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.