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Finding the Fourth Proportional to 304,321.24, 419,915.10 and 196,895.80

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Solution

The fourth proportional to 304,321.24, 419,915.10 and 196,895.80 is: 271,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,321.24 : 419,915.10 = 196,895.80 : x
  2. Step 2: Convert to fraction form
    304,321.24/419,915.10 = 196,895.80/x
  3. Step 3: Cross multiply
    304,321.24x = 419,915.10 × 196,895.80
  4. Step 4: Simplify right side
    304,321.24x = 82,679,519,546.58
  5. Step 5: Solve for x
    x = 82,679,519,546.58/304,321.24
  6. Step 6: Final answer
    x = 271,685.01

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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.