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Finding the Fourth Proportional to 361,439.82, 498,791.12 and 200,297.61

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Solution

The fourth proportional to 361,439.82, 498,791.12 and 200,297.61 is: 276,413.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,439.82 : 498,791.12 = 200,297.61 : x
  2. Step 2: Convert to fraction form
    361,439.82/498,791.12 = 200,297.61/x
  3. Step 3: Cross multiply
    361,439.82x = 498,791.12 × 200,297.61
  4. Step 4: Simplify right side
    361,439.82x = 99,906,668,223.74
  5. Step 5: Solve for x
    x = 99,906,668,223.74/361,439.82
  6. Step 6: Final answer
    x = 276,413.01

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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.