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Finding the Fourth Proportional to 356,321.88, 491,724.81 and 195,177.24

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Solution

The fourth proportional to 356,321.88, 491,724.81 and 195,177.24 is: 269,344.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,321.88 : 491,724.81 = 195,177.24 : x
  2. Step 2: Convert to fraction form
    356,321.88/491,724.81 = 195,177.24/x
  3. Step 3: Cross multiply
    356,321.88x = 491,724.81 × 195,177.24
  4. Step 4: Simplify right side
    356,321.88x = 95,973,491,255.32
  5. Step 5: Solve for x
    x = 95,973,491,255.32/356,321.88
  6. Step 6: Final answer
    x = 269,344.93

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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.