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Finding the Fourth Proportional to 270,880.60, 405,947.23 and 204,247.49

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Solution

The fourth proportional to 270,880.60, 405,947.23 and 204,247.49 is: 306,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,880.60 : 405,947.23 = 204,247.49 : x
  2. Step 2: Convert to fraction form
    270,880.60/405,947.23 = 204,247.49/x
  3. Step 3: Cross multiply
    270,880.60x = 405,947.23 × 204,247.49
  4. Step 4: Simplify right side
    270,880.60x = 82,913,702,799.95
  5. Step 5: Solve for x
    x = 82,913,702,799.95/270,880.60
  6. Step 6: Final answer
    x = 306,089.48

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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.