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Finding the Fourth Proportional to 422,071.31, 582,514.00 and 240,741.68

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Solution

The fourth proportional to 422,071.31, 582,514.00 and 240,741.68 is: 332,255.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,071.31 : 582,514.00 = 240,741.68 : x
  2. Step 2: Convert to fraction form
    422,071.31/582,514.00 = 240,741.68/x
  3. Step 3: Cross multiply
    422,071.31x = 582,514.00 × 240,741.68
  4. Step 4: Simplify right side
    422,071.31x = 140,235,395,469.10
  5. Step 5: Solve for x
    x = 140,235,395,469.10/422,071.31
  6. Step 6: Final answer
    x = 332,255.22

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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.