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Finding the Fourth Proportional to 299,989.20, 449,983.80 and 270,958.80

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Solution

The fourth proportional to 299,989.20, 449,983.80 and 270,958.80 is: 406,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,989.20 : 449,983.80 = 270,958.80 : x
  2. Step 2: Convert to fraction form
    299,989.20/449,983.80 = 270,958.80/x
  3. Step 3: Cross multiply
    299,989.20x = 449,983.80 × 270,958.80
  4. Step 4: Simplify right side
    299,989.20x = 121,927,070,467.44
  5. Step 5: Solve for x
    x = 121,927,070,467.44/299,989.20
  6. Step 6: Final answer
    x = 406,438.20

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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.