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Finding the Fourth Proportional to 304,266.40, 419,747.94 and 196,871.44

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Solution

The fourth proportional to 304,266.40, 419,747.94 and 196,871.44 is: 271,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,266.40 : 419,747.94 = 196,871.44 : x
  2. Step 2: Convert to fraction form
    304,266.40/419,747.94 = 196,871.44/x
  3. Step 3: Cross multiply
    304,266.40x = 419,747.94 × 196,871.44
  4. Step 4: Simplify right side
    304,266.40x = 82,636,381,384.83
  5. Step 5: Solve for x
    x = 82,636,381,384.83/304,266.40
  6. Step 6: Final answer
    x = 271,592.20

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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.