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Finding the Fourth Proportional to 419,951.20, 629,926.80 and 209,999.20

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Solution

The fourth proportional to 419,951.20, 629,926.80 and 209,999.20 is: 314,998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,951.20 : 629,926.80 = 209,999.20 : x
  2. Step 2: Convert to fraction form
    419,951.20/629,926.80 = 209,999.20/x
  3. Step 3: Cross multiply
    419,951.20x = 629,926.80 × 209,999.20
  4. Step 4: Simplify right side
    419,951.20x = 132,284,124,058.56
  5. Step 5: Solve for x
    x = 132,284,124,058.56/419,951.20
  6. Step 6: Final answer
    x = 314,998.80

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Similar ratio
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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.