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Finding the Fourth Proportional to 422,016.30, 582,382.50 and 231,029.68

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Solution

The fourth proportional to 422,016.30, 582,382.50 and 231,029.68 is: 318,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,016.30 : 582,382.50 = 231,029.68 : x
  2. Step 2: Convert to fraction form
    422,016.30/582,382.50 = 231,029.68/x
  3. Step 3: Cross multiply
    422,016.30x = 582,382.50 × 231,029.68
  4. Step 4: Simplify right side
    422,016.30x = 134,547,642,612.60
  5. Step 5: Solve for x
    x = 134,547,642,612.60/422,016.30
  6. Step 6: Final answer
    x = 318,820.96

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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.