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Finding the Fourth Proportional to 422,099.56, 582,497.22 and 231,112.84

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Solution

The fourth proportional to 422,099.56, 582,497.22 and 231,112.84 is: 318,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,099.56 : 582,497.22 = 231,112.84 : x
  2. Step 2: Convert to fraction form
    422,099.56/582,497.22 = 231,112.84/x
  3. Step 3: Cross multiply
    422,099.56x = 582,497.22 × 231,112.84
  4. Step 4: Simplify right side
    422,099.56x = 134,622,586,806.31
  5. Step 5: Solve for x
    x = 134,622,586,806.31/422,099.56
  6. Step 6: Final answer
    x = 318,935.62

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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.