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Finding the Fourth Proportional to 422,166.52, 582,563.10 and 231,182.20

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Solution

The fourth proportional to 422,166.52, 582,563.10 and 231,182.20 is: 319,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,166.52 : 582,563.10 = 231,182.20 : x
  2. Step 2: Convert to fraction form
    422,166.52/582,563.10 = 231,182.20/x
  3. Step 3: Cross multiply
    422,166.52x = 582,563.10 × 231,182.20
  4. Step 4: Simplify right side
    422,166.52x = 134,678,219,096.82
  5. Step 5: Solve for x
    x = 134,678,219,096.82/422,166.52
  6. Step 6: Final answer
    x = 319,016.82

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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.