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Finding the Fourth Proportional to 273,910.82, 410,884.79 and 84,359.48

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Solution

The fourth proportional to 273,910.82, 410,884.79 and 84,359.48 is: 126,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,910.82 : 410,884.79 = 84,359.48 : x
  2. Step 2: Convert to fraction form
    273,910.82/410,884.79 = 84,359.48/x
  3. Step 3: Cross multiply
    273,910.82x = 410,884.79 × 84,359.48
  4. Step 4: Simplify right side
    273,910.82x = 34,662,024,748.09
  5. Step 5: Solve for x
    x = 34,662,024,748.09/273,910.82
  6. Step 6: Final answer
    x = 126,544.93

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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.