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Finding the Fourth Proportional to 297,717.20, 410,841.24 and 161,745.20

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Solution

The fourth proportional to 297,717.20, 410,841.24 and 161,745.20 is: 223,203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,717.20 : 410,841.24 = 161,745.20 : x
  2. Step 2: Convert to fraction form
    297,717.20/410,841.24 = 161,745.20/x
  3. Step 3: Cross multiply
    297,717.20x = 410,841.24 × 161,745.20
  4. Step 4: Simplify right side
    297,717.20x = 66,451,598,532.05
  5. Step 5: Solve for x
    x = 66,451,598,532.05/297,717.20
  6. Step 6: Final answer
    x = 223,203.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.