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Finding the Fourth Proportional to 361,013.64, 498,202.74 and 199,871.34

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Solution

The fourth proportional to 361,013.64, 498,202.74 and 199,871.34 is: 275,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,013.64 : 498,202.74 = 199,871.34 : x
  2. Step 2: Convert to fraction form
    361,013.64/498,202.74 = 199,871.34/x
  3. Step 3: Cross multiply
    361,013.64x = 498,202.74 × 199,871.34
  4. Step 4: Simplify right side
    361,013.64x = 99,576,449,235.47
  5. Step 5: Solve for x
    x = 99,576,449,235.47/361,013.64
  6. Step 6: Final answer
    x = 275,824.62

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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.