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Finding the Fourth Proportional to 361,442.12, 498,791.28 and 200,299.82

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Solution

The fourth proportional to 361,442.12, 498,791.28 and 200,299.82 is: 276,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,442.12 : 498,791.28 = 200,299.82 : x
  2. Step 2: Convert to fraction form
    361,442.12/498,791.28 = 200,299.82/x
  3. Step 3: Cross multiply
    361,442.12x = 498,791.28 × 200,299.82
  4. Step 4: Simplify right side
    361,442.12x = 99,907,803,601.57
  5. Step 5: Solve for x
    x = 99,907,803,601.57/361,442.12
  6. Step 6: Final answer
    x = 276,414.39

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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.