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Finding the Fourth Proportional to 361,403.70, 498,729.65 and 200,257.31

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Solution

The fourth proportional to 361,403.70, 498,729.65 and 200,257.31 is: 276,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,403.70 : 498,729.65 = 200,257.31 : x
  2. Step 2: Convert to fraction form
    361,403.70/498,729.65 = 200,257.31/x
  3. Step 3: Cross multiply
    361,403.70x = 498,729.65 × 200,257.31
  4. Step 4: Simplify right side
    361,403.70x = 99,874,254,631.31
  5. Step 5: Solve for x
    x = 99,874,254,631.31/361,403.70
  6. Step 6: Final answer
    x = 276,350.95

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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.