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Finding the Fourth Proportional to 270,481.80, 405,722.70 and 252,856.20

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Solution

The fourth proportional to 270,481.80, 405,722.70 and 252,856.20 is: 379,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,481.80 : 405,722.70 = 252,856.20 : x
  2. Step 2: Convert to fraction form
    270,481.80/405,722.70 = 252,856.20/x
  3. Step 3: Cross multiply
    270,481.80x = 405,722.70 × 252,856.20
  4. Step 4: Simplify right side
    270,481.80x = 102,589,500,175.74
  5. Step 5: Solve for x
    x = 102,589,500,175.74/270,481.80
  6. Step 6: Final answer
    x = 379,284.30

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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.