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Finding the Fourth Proportional to 273,882.40, 410,561.16 and 115,893.52

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Solution

The fourth proportional to 273,882.40, 410,561.16 and 115,893.52 is: 173,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,882.40 : 410,561.16 = 115,893.52 : x
  2. Step 2: Convert to fraction form
    273,882.40/410,561.16 = 115,893.52/x
  3. Step 3: Cross multiply
    273,882.40x = 410,561.16 × 115,893.52
  4. Step 4: Simplify right side
    273,882.40x = 47,581,378,007.68
  5. Step 5: Solve for x
    x = 47,581,378,007.68/273,882.40
  6. Step 6: Final answer
    x = 173,729.23

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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.