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Finding the Fourth Proportional to 356,441.38, 491,889.00 and 195,302.54

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Solution

The fourth proportional to 356,441.38, 491,889.00 and 195,302.54 is: 269,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,441.38 : 491,889.00 = 195,302.54 : x
  2. Step 2: Convert to fraction form
    356,441.38/491,889.00 = 195,302.54/x
  3. Step 3: Cross multiply
    356,441.38x = 491,889.00 × 195,302.54
  4. Step 4: Simplify right side
    356,441.38x = 96,067,173,060.17
  5. Step 5: Solve for x
    x = 96,067,173,060.17/356,441.38
  6. Step 6: Final answer
    x = 269,517.46

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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.