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Finding the Fourth Proportional to 356,442.88, 491,891.07 and 195,304.04

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Solution

The fourth proportional to 356,442.88, 491,891.07 and 195,304.04 is: 269,519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,442.88 : 491,891.07 = 195,304.04 : x
  2. Step 2: Convert to fraction form
    356,442.88/491,891.07 = 195,304.04/x
  3. Step 3: Cross multiply
    356,442.88x = 491,891.07 × 195,304.04
  4. Step 4: Simplify right side
    356,442.88x = 96,068,314,440.65
  5. Step 5: Solve for x
    x = 96,068,314,440.65/356,442.88
  6. Step 6: Final answer
    x = 269,519.52

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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.