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Finding the Fourth Proportional to 580,536.25, 870,859.41 and 225,577.69

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Solution

The fourth proportional to 580,536.25, 870,859.41 and 225,577.69 is: 338,387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,536.25 : 870,859.41 = 225,577.69 : x
  2. Step 2: Convert to fraction form
    580,536.25/870,859.41 = 225,577.69/x
  3. Step 3: Cross multiply
    580,536.25x = 870,859.41 × 225,577.69
  4. Step 4: Simplify right side
    580,536.25x = 196,446,454,022.56
  5. Step 5: Solve for x
    x = 196,446,454,022.56/580,536.25
  6. Step 6: Final answer
    x = 338,387.92

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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.