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Finding the Fourth Proportional to 299,524, 413,343.12 and 193,540

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Solution

The fourth proportional to 299,524, 413,343.12 and 193,540 is: 267,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,524 : 413,343.12 = 193,540 : x
  2. Step 2: Convert to fraction form
    299,524/413,343.12 = 193,540/x
  3. Step 3: Cross multiply
    299,524x = 413,343.12 × 193,540
  4. Step 4: Simplify right side
    299,524x = 79,998,427,444.80
  5. Step 5: Solve for x
    x = 79,998,427,444.80/299,524
  6. Step 6: Final answer
    x = 267,085.20

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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.