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Finding the Fourth Proportional to 297,622.64, 410,722.26 and 161,657.90

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Solution

The fourth proportional to 297,622.64, 410,722.26 and 161,657.90 is: 223,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,622.64 : 410,722.26 = 161,657.90 : x
  2. Step 2: Convert to fraction form
    297,622.64/410,722.26 = 161,657.90/x
  3. Step 3: Cross multiply
    297,622.64x = 410,722.26 × 161,657.90
  4. Step 4: Simplify right side
    297,622.64x = 66,396,498,034.85
  5. Step 5: Solve for x
    x = 66,396,498,034.85/297,622.64
  6. Step 6: Final answer
    x = 223,089.54

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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.