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Finding the Fourth Proportional to 322,379.92, 444,925.20 and 195,056.56

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Solution

The fourth proportional to 322,379.92, 444,925.20 and 195,056.56 is: 269,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,379.92 : 444,925.20 = 195,056.56 : x
  2. Step 2: Convert to fraction form
    322,379.92/444,925.20 = 195,056.56/x
  3. Step 3: Cross multiply
    322,379.92x = 444,925.20 × 195,056.56
  4. Step 4: Simplify right side
    322,379.92x = 86,785,578,969.31
  5. Step 5: Solve for x
    x = 86,785,578,969.31/322,379.92
  6. Step 6: Final answer
    x = 269,202.81

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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.