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Finding the Fourth Proportional to 361,761.48, 499,198.08 and 200,616

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Solution

The fourth proportional to 361,761.48, 499,198.08 and 200,616 is: 276,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,761.48 : 499,198.08 = 200,616 : x
  2. Step 2: Convert to fraction form
    361,761.48/499,198.08 = 200,616/x
  3. Step 3: Cross multiply
    361,761.48x = 499,198.08 × 200,616
  4. Step 4: Simplify right side
    361,761.48x = 100,147,122,017.28
  5. Step 5: Solve for x
    x = 100,147,122,017.28/361,761.48
  6. Step 6: Final answer
    x = 276,831.91

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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.