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Finding the Fourth Proportional to 273,880.44, 410,894.17 and 84,345.30

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Solution

The fourth proportional to 273,880.44, 410,894.17 and 84,345.30 is: 126,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,880.44 : 410,894.17 = 84,345.30 : x
  2. Step 2: Convert to fraction form
    273,880.44/410,894.17 = 84,345.30/x
  3. Step 3: Cross multiply
    273,880.44x = 410,894.17 × 84,345.30
  4. Step 4: Simplify right side
    273,880.44x = 34,656,991,826.04
  5. Step 5: Solve for x
    x = 34,656,991,826.04/273,880.44
  6. Step 6: Final answer
    x = 126,540.59

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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.