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Finding the Fourth Proportional to 304,285.41, 419,772.48 and 196,890.14

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Solution

The fourth proportional to 304,285.41, 419,772.48 and 196,890.14 is: 271,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,285.41 : 419,772.48 = 196,890.14 : x
  2. Step 2: Convert to fraction form
    304,285.41/419,772.48 = 196,890.14/x
  3. Step 3: Cross multiply
    304,285.41x = 419,772.48 × 196,890.14
  4. Step 4: Simplify right side
    304,285.41x = 82,649,062,666.44
  5. Step 5: Solve for x
    x = 82,649,062,666.44/304,285.41
  6. Step 6: Final answer
    x = 271,616.91

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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.