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Finding the Fourth Proportional to 304,204.68, 419,662.80 and 196,809.30

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Solution

The fourth proportional to 304,204.68, 419,662.80 and 196,809.30 is: 271,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,204.68 : 419,662.80 = 196,809.30 : x
  2. Step 2: Convert to fraction form
    304,204.68/419,662.80 = 196,809.30/x
  3. Step 3: Cross multiply
    304,204.68x = 419,662.80 × 196,809.30
  4. Step 4: Simplify right side
    304,204.68x = 82,593,541,904.04
  5. Step 5: Solve for x
    x = 82,593,541,904.04/304,204.68
  6. Step 6: Final answer
    x = 271,506.48

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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.