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Finding the Fourth Proportional to 533,596.20, 800,098.92 and 218,274.60

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Solution

The fourth proportional to 533,596.20, 800,098.92 and 218,274.60 is: 327,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,596.20 : 800,098.92 = 218,274.60 : x
  2. Step 2: Convert to fraction form
    533,596.20/800,098.92 = 218,274.60/x
  3. Step 3: Cross multiply
    533,596.20x = 800,098.92 × 218,274.60
  4. Step 4: Simplify right side
    533,596.20x = 174,641,271,723.43
  5. Step 5: Solve for x
    x = 174,641,271,723.43/533,596.20
  6. Step 6: Final answer
    x = 327,291.07

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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.