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Finding the Fourth Proportional to 299,843.20, 449,692.80 and 173,209.60

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Solution

The fourth proportional to 299,843.20, 449,692.80 and 173,209.60 is: 259,772.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,843.20 : 449,692.80 = 173,209.60 : x
  2. Step 2: Convert to fraction form
    299,843.20/449,692.80 = 173,209.60/x
  3. Step 3: Cross multiply
    299,843.20x = 449,692.80 × 173,209.60
  4. Step 4: Simplify right side
    299,843.20x = 77,891,110,010.88
  5. Step 5: Solve for x
    x = 77,891,110,010.88/299,843.20
  6. Step 6: Final answer
    x = 259,772.81

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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.