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Finding the Fourth Proportional to 274,427.80, 410,835.30 and 204,616.60

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Solution

The fourth proportional to 274,427.80, 410,835.30 and 204,616.60 is: 306,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,427.80 : 410,835.30 = 204,616.60 : x
  2. Step 2: Convert to fraction form
    274,427.80/410,835.30 = 204,616.60/x
  3. Step 3: Cross multiply
    274,427.80x = 410,835.30 × 204,616.60
  4. Step 4: Simplify right side
    274,427.80x = 84,063,722,245.98
  5. Step 5: Solve for x
    x = 84,063,722,245.98/274,427.80
  6. Step 6: Final answer
    x = 306,323.64

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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.