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Finding the Fourth Proportional to 273,469.92, 409,924.56 and 104,944.80

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Solution

The fourth proportional to 273,469.92, 409,924.56 and 104,944.80 is: 157,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,469.92 : 409,924.56 = 104,944.80 : x
  2. Step 2: Convert to fraction form
    273,469.92/409,924.56 = 104,944.80/x
  3. Step 3: Cross multiply
    273,469.92x = 409,924.56 × 104,944.80
  4. Step 4: Simplify right side
    273,469.92x = 43,019,450,964.29
  5. Step 5: Solve for x
    x = 43,019,450,964.29/273,469.92
  6. Step 6: Final answer
    x = 157,309.63

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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.