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Finding the Fourth Proportional to 304,304.34, 419,800.14 and 196,909.68

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Solution

The fourth proportional to 304,304.34, 419,800.14 and 196,909.68 is: 271,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,304.34 : 419,800.14 = 196,909.68 : x
  2. Step 2: Convert to fraction form
    304,304.34/419,800.14 = 196,909.68/x
  3. Step 3: Cross multiply
    304,304.34x = 419,800.14 × 196,909.68
  4. Step 4: Simplify right side
    304,304.34x = 82,662,711,231.36
  5. Step 5: Solve for x
    x = 82,662,711,231.36/304,304.34
  6. Step 6: Final answer
    x = 271,644.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.