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Finding the Fourth Proportional to 422,438.49, 582,942.83 and 241,143.21

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Solution

The fourth proportional to 422,438.49, 582,942.83 and 241,143.21 is: 332,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,438.49 : 582,942.83 = 241,143.21 : x
  2. Step 2: Convert to fraction form
    422,438.49/582,942.83 = 241,143.21/x
  3. Step 3: Cross multiply
    422,438.49x = 582,942.83 × 241,143.21
  4. Step 4: Simplify right side
    422,438.49x = 140,572,704,066.97
  5. Step 5: Solve for x
    x = 140,572,704,066.97/422,438.49
  6. Step 6: Final answer
    x = 332,764.91

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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.