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Finding the Fourth Proportional to 273,815.48, 410,150.82 and 220,217.78

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Solution

The fourth proportional to 273,815.48, 410,150.82 and 220,217.78 is: 329,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,815.48 : 410,150.82 = 220,217.78 : x
  2. Step 2: Convert to fraction form
    273,815.48/410,150.82 = 220,217.78/x
  3. Step 3: Cross multiply
    273,815.48x = 410,150.82 × 220,217.78
  4. Step 4: Simplify right side
    273,815.48x = 90,322,503,045.58
  5. Step 5: Solve for x
    x = 90,322,503,045.58/273,815.48
  6. Step 6: Final answer
    x = 329,866.31

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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.