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Finding the Fourth Proportional to 356,323.28, 491,706.92 and 195,147.76

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Solution

The fourth proportional to 356,323.28, 491,706.92 and 195,147.76 is: 269,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,323.28 : 491,706.92 = 195,147.76 : x
  2. Step 2: Convert to fraction form
    356,323.28/491,706.92 = 195,147.76/x
  3. Step 3: Cross multiply
    356,323.28x = 491,706.92 × 195,147.76
  4. Step 4: Simplify right side
    356,323.28x = 95,955,504,014.50
  5. Step 5: Solve for x
    x = 95,955,504,014.50/356,323.28
  6. Step 6: Final answer
    x = 269,293.39

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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.