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Finding the Fourth Proportional to 298,324.58, 447,472.28 and 111,321.50

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Solution

The fourth proportional to 298,324.58, 447,472.28 and 111,321.50 is: 166,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,324.58 : 447,472.28 = 111,321.50 : x
  2. Step 2: Convert to fraction form
    298,324.58/447,472.28 = 111,321.50/x
  3. Step 3: Cross multiply
    298,324.58x = 447,472.28 × 111,321.50
  4. Step 4: Simplify right side
    298,324.58x = 49,813,285,418.02
  5. Step 5: Solve for x
    x = 49,813,285,418.02/298,324.58
  6. Step 6: Final answer
    x = 166,976.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.