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Finding the Fourth Proportional to 297,614.59, 410,711.12 and 161,651.20

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Solution

The fourth proportional to 297,614.59, 410,711.12 and 161,651.20 is: 223,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,614.59 : 410,711.12 = 161,651.20 : x
  2. Step 2: Convert to fraction form
    297,614.59/410,711.12 = 161,651.20/x
  3. Step 3: Cross multiply
    297,614.59x = 410,711.12 × 161,651.20
  4. Step 4: Simplify right side
    297,614.59x = 66,391,945,401.34
  5. Step 5: Solve for x
    x = 66,391,945,401.34/297,614.59
  6. Step 6: Final answer
    x = 223,080.28

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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.