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Finding the Fourth Proportional to 422,315.22, 582,795.15 and 231,331.74

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Solution

The fourth proportional to 422,315.22, 582,795.15 and 231,331.74 is: 319,237.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,315.22 : 582,795.15 = 231,331.74 : x
  2. Step 2: Convert to fraction form
    422,315.22/582,795.15 = 231,331.74/x
  3. Step 3: Cross multiply
    422,315.22x = 582,795.15 × 231,331.74
  4. Step 4: Simplify right side
    422,315.22x = 134,819,016,113.06
  5. Step 5: Solve for x
    x = 134,819,016,113.06/422,315.22
  6. Step 6: Final answer
    x = 319,237.88

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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.