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Finding the Fourth Proportional to 273,826.38, 410,778.51 and 84,302.58

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Solution

The fourth proportional to 273,826.38, 410,778.51 and 84,302.58 is: 126,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,826.38 : 410,778.51 = 84,302.58 : x
  2. Step 2: Convert to fraction form
    273,826.38/410,778.51 = 84,302.58/x
  3. Step 3: Cross multiply
    273,826.38x = 410,778.51 × 84,302.58
  4. Step 4: Simplify right side
    273,826.38x = 34,629,688,201.56
  5. Step 5: Solve for x
    x = 34,629,688,201.56/273,826.38
  6. Step 6: Final answer
    x = 126,465.86

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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.