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Finding the Fourth Proportional to 297,634.56, 410,843.52 and 197,064.96

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Solution

The fourth proportional to 297,634.56, 410,843.52 and 197,064.96 is: 272,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,634.56 : 410,843.52 = 197,064.96 : x
  2. Step 2: Convert to fraction form
    297,634.56/410,843.52 = 197,064.96/x
  3. Step 3: Cross multiply
    297,634.56x = 410,843.52 × 197,064.96
  4. Step 4: Simplify right side
    297,634.56x = 80,962,861,835.06
  5. Step 5: Solve for x
    x = 80,962,861,835.06/297,634.56
  6. Step 6: Final answer
    x = 272,021.04

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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.