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Finding the Fourth Proportional to 357,376.15, 493,183.38 and 196,227.97

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Solution

The fourth proportional to 357,376.15, 493,183.38 and 196,227.97 is: 270,796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,376.15 : 493,183.38 = 196,227.97 : x
  2. Step 2: Convert to fraction form
    357,376.15/493,183.38 = 196,227.97/x
  3. Step 3: Cross multiply
    357,376.15x = 493,183.38 × 196,227.97
  4. Step 4: Simplify right side
    357,376.15x = 96,776,372,998.04
  5. Step 5: Solve for x
    x = 96,776,372,998.04/357,376.15
  6. Step 6: Final answer
    x = 270,796.95

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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.