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Finding the Fourth Proportional to 322,409.20, 483,613.80 and 100,793.20

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Solution

The fourth proportional to 322,409.20, 483,613.80 and 100,793.20 is: 151,189.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,409.20 : 483,613.80 = 100,793.20 : x
  2. Step 2: Convert to fraction form
    322,409.20/483,613.80 = 100,793.20/x
  3. Step 3: Cross multiply
    322,409.20x = 483,613.80 × 100,793.20
  4. Step 4: Simplify right side
    322,409.20x = 48,744,982,466.16
  5. Step 5: Solve for x
    x = 48,744,982,466.16/322,409.20
  6. Step 6: Final answer
    x = 151,189.80

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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.