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Finding the Fourth Proportional to 419,744.80, 629,274.12 and 195,245.20

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Solution

The fourth proportional to 419,744.80, 629,274.12 and 195,245.20 is: 292,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,744.80 : 629,274.12 = 195,245.20 : x
  2. Step 2: Convert to fraction form
    419,744.80/629,274.12 = 195,245.20/x
  3. Step 3: Cross multiply
    419,744.80x = 629,274.12 × 195,245.20
  4. Step 4: Simplify right side
    419,744.80x = 122,862,751,414.22
  5. Step 5: Solve for x
    x = 122,862,751,414.22/419,744.80
  6. Step 6: Final answer
    x = 292,708.22

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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.