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Finding the Fourth Proportional to 299,474.10, 449,211.15 and 277,822.80

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Solution

The fourth proportional to 299,474.10, 449,211.15 and 277,822.80 is: 416,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,474.10 : 449,211.15 = 277,822.80 : x
  2. Step 2: Convert to fraction form
    299,474.10/449,211.15 = 277,822.80/x
  3. Step 3: Cross multiply
    299,474.10x = 449,211.15 × 277,822.80
  4. Step 4: Simplify right side
    299,474.10x = 124,801,099,484.22
  5. Step 5: Solve for x
    x = 124,801,099,484.22/299,474.10
  6. Step 6: Final answer
    x = 416,734.20

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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.