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Finding the Fourth Proportional to 654,713.74, 982,310.49 and 275,729.87

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Solution

The fourth proportional to 654,713.74, 982,310.49 and 275,729.87 is: 413,695.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,713.74 : 982,310.49 = 275,729.87 : x
  2. Step 2: Convert to fraction form
    654,713.74/982,310.49 = 275,729.87/x
  3. Step 3: Cross multiply
    654,713.74x = 982,310.49 × 275,729.87
  4. Step 4: Simplify right side
    654,713.74x = 270,852,346,163.11
  5. Step 5: Solve for x
    x = 270,852,346,163.11/654,713.74
  6. Step 6: Final answer
    x = 413,695.84

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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.