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Finding the Fourth Proportional to 299,675.91, 449,691.20 and 110,269.28

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Solution

The fourth proportional to 299,675.91, 449,691.20 and 110,269.28 is: 165,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,675.91 : 449,691.20 = 110,269.28 : x
  2. Step 2: Convert to fraction form
    299,675.91/449,691.20 = 110,269.28/x
  3. Step 3: Cross multiply
    299,675.91x = 449,691.20 × 110,269.28
  4. Step 4: Simplify right side
    299,675.91x = 49,587,124,846.34
  5. Step 5: Solve for x
    x = 49,587,124,846.34/299,675.91
  6. Step 6: Final answer
    x = 165,469.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.