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Finding the Fourth Proportional to 304,304.84, 419,799.18 and 196,909.54

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Solution

The fourth proportional to 304,304.84, 419,799.18 and 196,909.54 is: 271,643.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,304.84 : 419,799.18 = 196,909.54 : x
  2. Step 2: Convert to fraction form
    304,304.84/419,799.18 = 196,909.54/x
  3. Step 3: Cross multiply
    304,304.84x = 419,799.18 × 196,909.54
  4. Step 4: Simplify right side
    304,304.84x = 82,662,463,426.18
  5. Step 5: Solve for x
    x = 82,662,463,426.18/304,304.84
  6. Step 6: Final answer
    x = 271,643.60

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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.