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Finding the Fourth Proportional to 273,826.31, 410,778.33 and 84,302.43

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Solution

The fourth proportional to 273,826.31, 410,778.33 and 84,302.43 is: 126,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,826.31 : 410,778.33 = 84,302.43 : x
  2. Step 2: Convert to fraction form
    273,826.31/410,778.33 = 84,302.43/x
  3. Step 3: Cross multiply
    273,826.31x = 410,778.33 × 84,302.43
  4. Step 4: Simplify right side
    273,826.31x = 34,629,609,356.45
  5. Step 5: Solve for x
    x = 34,629,609,356.45/273,826.31
  6. Step 6: Final answer
    x = 126,465.61

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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.