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Finding the Fourth Proportional to 297,957.09, 411,133.17 and 196,023.78

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Solution

The fourth proportional to 297,957.09, 411,133.17 and 196,023.78 is: 270,481.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,957.09 : 411,133.17 = 196,023.78 : x
  2. Step 2: Convert to fraction form
    297,957.09/411,133.17 = 196,023.78/x
  3. Step 3: Cross multiply
    297,957.09x = 411,133.17 × 196,023.78
  4. Step 4: Simplify right side
    297,957.09x = 80,591,878,066.78
  5. Step 5: Solve for x
    x = 80,591,878,066.78/297,957.09
  6. Step 6: Final answer
    x = 270,481.49

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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.