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Finding the Fourth Proportional to 299,453.97, 413,240.03 and 163,481.29

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Solution

The fourth proportional to 299,453.97, 413,240.03 and 163,481.29 is: 225,600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,453.97 : 413,240.03 = 163,481.29 : x
  2. Step 2: Convert to fraction form
    299,453.97/413,240.03 = 163,481.29/x
  3. Step 3: Cross multiply
    299,453.97x = 413,240.03 × 163,481.29
  4. Step 4: Simplify right side
    299,453.97x = 67,557,013,184.04
  5. Step 5: Solve for x
    x = 67,557,013,184.04/299,453.97
  6. Step 6: Final answer
    x = 225,600.66

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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.