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Finding the Fourth Proportional to 422,139.16, 582,551.70 and 231,156.28

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Solution

The fourth proportional to 422,139.16, 582,551.70 and 231,156.28 is: 318,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,139.16 : 582,551.70 = 231,156.28 : x
  2. Step 2: Convert to fraction form
    422,139.16/582,551.70 = 231,156.28/x
  3. Step 3: Cross multiply
    422,139.16x = 582,551.70 × 231,156.28
  4. Step 4: Simplify right side
    422,139.16x = 134,660,483,879.68
  5. Step 5: Solve for x
    x = 134,660,483,879.68/422,139.16
  6. Step 6: Final answer
    x = 318,995.48

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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.