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Finding the Fourth Proportional to 304,279.28, 419,764.02 and 196,884.02

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Solution

The fourth proportional to 304,279.28, 419,764.02 and 196,884.02 is: 271,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,279.28 : 419,764.02 = 196,884.02 : x
  2. Step 2: Convert to fraction form
    304,279.28/419,764.02 = 196,884.02/x
  3. Step 3: Cross multiply
    304,279.28x = 419,764.02 × 196,884.02
  4. Step 4: Simplify right side
    304,279.28x = 82,644,827,708.96
  5. Step 5: Solve for x
    x = 82,644,827,708.96/304,279.28
  6. Step 6: Final answer
    x = 271,608.46

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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.