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Finding the Fourth Proportional to 297,711.98, 410,847.20 and 161,748.62

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Solution

The fourth proportional to 297,711.98, 410,847.20 and 161,748.62 is: 223,215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,711.98 : 410,847.20 = 161,748.62 : x
  2. Step 2: Convert to fraction form
    297,711.98/410,847.20 = 161,748.62/x
  3. Step 3: Cross multiply
    297,711.98x = 410,847.20 × 161,748.62
  4. Step 4: Simplify right side
    297,711.98x = 66,453,967,630.86
  5. Step 5: Solve for x
    x = 66,453,967,630.86/297,711.98
  6. Step 6: Final answer
    x = 223,215.63

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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.