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Finding the Fourth Proportional to 274,748.20, 411,320.40 and 196,016.20

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Solution

The fourth proportional to 274,748.20, 411,320.40 and 196,016.20 is: 293,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,748.20 : 411,320.40 = 196,016.20 : x
  2. Step 2: Convert to fraction form
    274,748.20/411,320.40 = 196,016.20/x
  3. Step 3: Cross multiply
    274,748.20x = 411,320.40 × 196,016.20
  4. Step 4: Simplify right side
    274,748.20x = 80,625,461,790.48
  5. Step 5: Solve for x
    x = 80,625,461,790.48/274,748.20
  6. Step 6: Final answer
    x = 293,452.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.