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Finding the Fourth Proportional to 422,313.44, 582,771.84 and 231,327.68

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Solution

The fourth proportional to 422,313.44, 582,771.84 and 231,327.68 is: 319,220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,313.44 : 582,771.84 = 231,327.68 : x
  2. Step 2: Convert to fraction form
    422,313.44/582,771.84 = 231,327.68/x
  3. Step 3: Cross multiply
    422,313.44x = 582,771.84 × 231,327.68
  4. Step 4: Simplify right side
    422,313.44x = 134,811,257,716.53
  5. Step 5: Solve for x
    x = 134,811,257,716.53/422,313.44
  6. Step 6: Final answer
    x = 319,220.86

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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.