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Finding the Fourth Proportional to 361,891.26, 499,469.82 and 200,798.22

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Solution

The fourth proportional to 361,891.26, 499,469.82 and 200,798.22 is: 277,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,891.26 : 499,469.82 = 200,798.22 : x
  2. Step 2: Convert to fraction form
    361,891.26/499,469.82 = 200,798.22/x
  3. Step 3: Cross multiply
    361,891.26x = 499,469.82 × 200,798.22
  4. Step 4: Simplify right side
    361,891.26x = 100,292,650,799.72
  5. Step 5: Solve for x
    x = 100,292,650,799.72/361,891.26
  6. Step 6: Final answer
    x = 277,134.77

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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.