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Finding the Fourth Proportional to 844,891.32, 1,267,326 and 205,200.30

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Solution

The fourth proportional to 844,891.32, 1,267,326 and 205,200.30 is: 307,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,891.32 : 1,267,326 = 205,200.30 : x
  2. Step 2: Convert to fraction form
    844,891.32/1,267,326 = 205,200.30/x
  3. Step 3: Cross multiply
    844,891.32x = 1,267,326 × 205,200.30
  4. Step 4: Simplify right side
    844,891.32x = 260,055,675,397.80
  5. Step 5: Solve for x
    x = 260,055,675,397.80/844,891.32
  6. Step 6: Final answer
    x = 307,797.78

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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.