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Finding the Fourth Proportional to 442,522.80, 610,524 and 261,143.97

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Solution

The fourth proportional to 442,522.80, 610,524 and 261,143.97 is: 360,285.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,522.80 : 610,524 = 261,143.97 : x
  2. Step 2: Convert to fraction form
    442,522.80/610,524 = 261,143.97/x
  3. Step 3: Cross multiply
    442,522.80x = 610,524 × 261,143.97
  4. Step 4: Simplify right side
    442,522.80x = 159,434,661,140.28
  5. Step 5: Solve for x
    x = 159,434,661,140.28/442,522.80
  6. Step 6: Final answer
    x = 360,285.76

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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.