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Finding the Fourth Proportional to 304,287.97, 419,776.01 and 196,892.64

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Solution

The fourth proportional to 304,287.97, 419,776.01 and 196,892.64 is: 271,620.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,287.97 : 419,776.01 = 196,892.64 : x
  2. Step 2: Convert to fraction form
    304,287.97/419,776.01 = 196,892.64/x
  3. Step 3: Cross multiply
    304,287.97x = 419,776.01 × 196,892.64
  4. Step 4: Simplify right side
    304,287.97x = 82,650,805,833.10
  5. Step 5: Solve for x
    x = 82,650,805,833.10/304,287.97
  6. Step 6: Final answer
    x = 271,620.35

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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.