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Finding the Fourth Proportional to 422,051.97, 582,433.43 and 231,083.13

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Solution

The fourth proportional to 422,051.97, 582,433.43 and 231,083.13 is: 318,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,051.97 : 582,433.43 = 231,083.13 : x
  2. Step 2: Convert to fraction form
    422,051.97/582,433.43 = 231,083.13/x
  3. Step 3: Cross multiply
    422,051.97x = 582,433.43 × 231,083.13
  4. Step 4: Simplify right side
    422,051.97x = 134,590,538,865.62
  5. Step 5: Solve for x
    x = 134,590,538,865.62/422,051.97
  6. Step 6: Final answer
    x = 318,895.65

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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.