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Finding the Fourth Proportional to 324,793.28, 447,992.34 and 211,769.12

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Solution

The fourth proportional to 324,793.28, 447,992.34 and 211,769.12 is: 292,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,793.28 : 447,992.34 = 211,769.12 : x
  2. Step 2: Convert to fraction form
    324,793.28/447,992.34 = 211,769.12/x
  3. Step 3: Cross multiply
    324,793.28x = 447,992.34 × 211,769.12
  4. Step 4: Simplify right side
    324,793.28x = 94,870,943,934.39
  5. Step 5: Solve for x
    x = 94,870,943,934.39/324,793.28
  6. Step 6: Final answer
    x = 292,096.39

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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.