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Finding the Fourth Proportional to 361,501.20, 498,871.92 and 200,353.20

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Solution

The fourth proportional to 361,501.20, 498,871.92 and 200,353.20 is: 276,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,501.20 : 498,871.92 = 200,353.20 : x
  2. Step 2: Convert to fraction form
    361,501.20/498,871.92 = 200,353.20/x
  3. Step 3: Cross multiply
    361,501.20x = 498,871.92 × 200,353.20
  4. Step 4: Simplify right side
    361,501.20x = 99,950,585,562.14
  5. Step 5: Solve for x
    x = 99,950,585,562.14/361,501.20
  6. Step 6: Final answer
    x = 276,487.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.