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Finding the Fourth Proportional to 273,846.40, 410,078.40 and 179,843.20

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Solution

The fourth proportional to 273,846.40, 410,078.40 and 179,843.20 is: 269,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,846.40 : 410,078.40 = 179,843.20 : x
  2. Step 2: Convert to fraction form
    273,846.40/410,078.40 = 179,843.20/x
  3. Step 3: Cross multiply
    273,846.40x = 410,078.40 × 179,843.20
  4. Step 4: Simplify right side
    273,846.40x = 73,749,811,706.88
  5. Step 5: Solve for x
    x = 73,749,811,706.88/273,846.40
  6. Step 6: Final answer
    x = 269,310.87

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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.