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Finding the Fourth Proportional to 263,965.70, 396,022.23 and 86,597.46

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Solution

The fourth proportional to 263,965.70, 396,022.23 and 86,597.46 is: 129,920.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,965.70 : 396,022.23 = 86,597.46 : x
  2. Step 2: Convert to fraction form
    263,965.70/396,022.23 = 86,597.46/x
  3. Step 3: Cross multiply
    263,965.70x = 396,022.23 × 86,597.46
  4. Step 4: Simplify right side
    263,965.70x = 34,294,519,221.54
  5. Step 5: Solve for x
    x = 34,294,519,221.54/263,965.70
  6. Step 6: Final answer
    x = 129,920.36

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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.