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Finding the Fourth Proportional to 361,203.60, 498,447.12 and 200,065.44

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Solution

The fourth proportional to 361,203.60, 498,447.12 and 200,065.44 is: 276,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,203.60 : 498,447.12 = 200,065.44 : x
  2. Step 2: Convert to fraction form
    361,203.60/498,447.12 = 200,065.44/x
  3. Step 3: Cross multiply
    361,203.60x = 498,447.12 × 200,065.44
  4. Step 4: Simplify right side
    361,203.60x = 99,722,042,379.53
  5. Step 5: Solve for x
    x = 99,722,042,379.53/361,203.60
  6. Step 6: Final answer
    x = 276,082.64

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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.