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Finding the Fourth Proportional to 419,770.10, 629,841.27 and 220,042.82

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Solution

The fourth proportional to 419,770.10, 629,841.27 and 220,042.82 is: 330,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,770.10 : 629,841.27 = 220,042.82 : x
  2. Step 2: Convert to fraction form
    419,770.10/629,841.27 = 220,042.82/x
  3. Step 3: Cross multiply
    419,770.10x = 629,841.27 × 220,042.82
  4. Step 4: Simplify right side
    419,770.10x = 138,592,049,203.18
  5. Step 5: Solve for x
    x = 138,592,049,203.18/419,770.10
  6. Step 6: Final answer
    x = 330,161.79

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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.