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Finding the Fourth Proportional to 299,672.49, 449,686.08 and 110,265.86

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Solution

The fourth proportional to 299,672.49, 449,686.08 and 110,265.86 is: 165,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,672.49 : 449,686.08 = 110,265.86 : x
  2. Step 2: Convert to fraction form
    299,672.49/449,686.08 = 110,265.86/x
  3. Step 3: Cross multiply
    299,672.49x = 449,686.08 × 110,265.86
  4. Step 4: Simplify right side
    299,672.49x = 49,585,023,189.78
  5. Step 5: Solve for x
    x = 49,585,023,189.78/299,672.49
  6. Step 6: Final answer
    x = 165,464.05

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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.