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Finding the Fourth Proportional to 299,470.80, 449,206.20 and 149,734.20

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Solution

The fourth proportional to 299,470.80, 449,206.20 and 149,734.20 is: 224,601.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,470.80 : 449,206.20 = 149,734.20 : x
  2. Step 2: Convert to fraction form
    299,470.80/449,206.20 = 149,734.20/x
  3. Step 3: Cross multiply
    299,470.80x = 449,206.20 × 149,734.20
  4. Step 4: Simplify right side
    299,470.80x = 67,261,530,992.04
  5. Step 5: Solve for x
    x = 67,261,530,992.04/299,470.80
  6. Step 6: Final answer
    x = 224,601.30

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1.5x scale

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.