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Finding the Fourth Proportional to 422,114.47, 582,518.11 and 231,139.96

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Solution

The fourth proportional to 422,114.47, 582,518.11 and 231,139.96 is: 318,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,114.47 : 582,518.11 = 231,139.96 : x
  2. Step 2: Convert to fraction form
    422,114.47/582,518.11 = 231,139.96/x
  3. Step 3: Cross multiply
    422,114.47x = 582,518.11 × 231,139.96
  4. Step 4: Simplify right side
    422,114.47x = 134,643,212,644.68
  5. Step 5: Solve for x
    x = 134,643,212,644.68/422,114.47
  6. Step 6: Final answer
    x = 318,973.22

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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.