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Finding the Fourth Proportional to 422,045.52, 582,400.98 and 231,022.68

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Solution

The fourth proportional to 422,045.52, 582,400.98 and 231,022.68 is: 318,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,045.52 : 582,400.98 = 231,022.68 : x
  2. Step 2: Convert to fraction form
    422,045.52/582,400.98 = 231,022.68/x
  3. Step 3: Cross multiply
    422,045.52x = 582,400.98 × 231,022.68
  4. Step 4: Simplify right side
    422,045.52x = 134,547,835,234.23
  5. Step 5: Solve for x
    x = 134,547,835,234.23/422,045.52
  6. Step 6: Final answer
    x = 318,799.34

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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.