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Finding the Fourth Proportional to 299,366.10, 449,049.15 and 193,077.90

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Solution

The fourth proportional to 299,366.10, 449,049.15 and 193,077.90 is: 289,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,366.10 : 449,049.15 = 193,077.90 : x
  2. Step 2: Convert to fraction form
    299,366.10/449,049.15 = 193,077.90/x
  3. Step 3: Cross multiply
    299,366.10x = 449,049.15 × 193,077.90
  4. Step 4: Simplify right side
    299,366.10x = 86,701,466,878.79
  5. Step 5: Solve for x
    x = 86,701,466,878.79/299,366.10
  6. Step 6: Final answer
    x = 289,616.85

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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.