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Finding the Fourth Proportional to 483,200.80, 724,455.60 and 216,743.20

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Solution

The fourth proportional to 483,200.80, 724,455.60 and 216,743.20 is: 324,959.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,200.80 : 724,455.60 = 216,743.20 : x
  2. Step 2: Convert to fraction form
    483,200.80/724,455.60 = 216,743.20/x
  3. Step 3: Cross multiply
    483,200.80x = 724,455.60 × 216,743.20
  4. Step 4: Simplify right side
    483,200.80x = 157,020,825,001.92
  5. Step 5: Solve for x
    x = 157,020,825,001.92/483,200.80
  6. Step 6: Final answer
    x = 324,959.78

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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.