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Finding the Fourth Proportional to 304,282.72, 419,768.85 and 196,887.43

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Solution

The fourth proportional to 304,282.72, 419,768.85 and 196,887.43 is: 271,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,282.72 : 419,768.85 = 196,887.43 : x
  2. Step 2: Convert to fraction form
    304,282.72/419,768.85 = 196,887.43/x
  3. Step 3: Cross multiply
    304,282.72x = 419,768.85 × 196,887.43
  4. Step 4: Simplify right side
    304,282.72x = 82,647,210,070.56
  5. Step 5: Solve for x
    x = 82,647,210,070.56/304,282.72
  6. Step 6: Final answer
    x = 271,613.22

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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.