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Finding the Fourth Proportional to 273,864.40, 410,105.40 and 179,861.20

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Solution

The fourth proportional to 273,864.40, 410,105.40 and 179,861.20 is: 269,337.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,864.40 : 410,105.40 = 179,861.20 : x
  2. Step 2: Convert to fraction form
    273,864.40/410,105.40 = 179,861.20/x
  3. Step 3: Cross multiply
    273,864.40x = 410,105.40 × 179,861.20
  4. Step 4: Simplify right side
    273,864.40x = 73,762,049,370.48
  5. Step 5: Solve for x
    x = 73,762,049,370.48/273,864.40
  6. Step 6: Final answer
    x = 269,337.85

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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.