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Finding the Fourth Proportional to 422,022.81, 582,391.45 and 231,036.19

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Solution

The fourth proportional to 422,022.81, 582,391.45 and 231,036.19 is: 318,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,022.81 : 582,391.45 = 231,036.19 : x
  2. Step 2: Convert to fraction form
    422,022.81/582,391.45 = 231,036.19/x
  3. Step 3: Cross multiply
    422,022.81x = 582,391.45 × 231,036.19
  4. Step 4: Simplify right side
    422,022.81x = 134,553,501,696.58
  5. Step 5: Solve for x
    x = 134,553,501,696.58/422,022.81
  6. Step 6: Final answer
    x = 318,829.93

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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.