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Finding the Fourth Proportional to 273,825.56, 410,777.20 and 84,301.67

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Solution

The fourth proportional to 273,825.56, 410,777.20 and 84,301.67 is: 126,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,825.56 : 410,777.20 = 84,301.67 : x
  2. Step 2: Convert to fraction form
    273,825.56/410,777.20 = 84,301.67/x
  3. Step 3: Cross multiply
    273,825.56x = 410,777.20 × 84,301.67
  4. Step 4: Simplify right side
    273,825.56x = 34,629,205,964.27
  5. Step 5: Solve for x
    x = 34,629,205,964.27/273,825.56
  6. Step 6: Final answer
    x = 126,464.48

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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.