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Finding the Fourth Proportional to 304,207.18, 419,862.06 and 195,447.47

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Solution

The fourth proportional to 304,207.18, 419,862.06 and 195,447.47 is: 269,753.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,207.18 : 419,862.06 = 195,447.47 : x
  2. Step 2: Convert to fraction form
    304,207.18/419,862.06 = 195,447.47/x
  3. Step 3: Cross multiply
    304,207.18x = 419,862.06 × 195,447.47
  4. Step 4: Simplify right side
    304,207.18x = 82,060,977,375.99
  5. Step 5: Solve for x
    x = 82,060,977,375.99/304,207.18
  6. Step 6: Final answer
    x = 269,753.58

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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.