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Finding the Fourth Proportional to 361,209.88, 498,447.72 and 200,055.28

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Solution

The fourth proportional to 361,209.88, 498,447.72 and 200,055.28 is: 276,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,209.88 : 498,447.72 = 200,055.28 : x
  2. Step 2: Convert to fraction form
    361,209.88/498,447.72 = 200,055.28/x
  3. Step 3: Cross multiply
    361,209.88x = 498,447.72 × 200,055.28
  4. Step 4: Simplify right side
    361,209.88x = 99,717,098,189.96
  5. Step 5: Solve for x
    x = 99,717,098,189.96/361,209.88
  6. Step 6: Final answer
    x = 276,064.15

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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.