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Finding the Fourth Proportional to 324,769.82, 487,253.15 and 147,229.16

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Solution

The fourth proportional to 324,769.82, 487,253.15 and 147,229.16 is: 220,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,769.82 : 487,253.15 = 147,229.16 : x
  2. Step 2: Convert to fraction form
    324,769.82/487,253.15 = 147,229.16/x
  3. Step 3: Cross multiply
    324,769.82x = 487,253.15 × 147,229.16
  4. Step 4: Simplify right side
    324,769.82x = 71,737,871,245.71
  5. Step 5: Solve for x
    x = 71,737,871,245.71/324,769.82
  6. Step 6: Final answer
    x = 220,888.35

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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.