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Finding the Fourth Proportional to 533,629.60, 800,185.20 and 296,720.80

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Solution

The fourth proportional to 533,629.60, 800,185.20 and 296,720.80 is: 444,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,629.60 : 800,185.20 = 296,720.80 : x
  2. Step 2: Convert to fraction form
    533,629.60/800,185.20 = 296,720.80/x
  3. Step 3: Cross multiply
    533,629.60x = 800,185.20 × 296,720.80
  4. Step 4: Simplify right side
    533,629.60x = 237,431,592,692.16
  5. Step 5: Solve for x
    x = 237,431,592,692.16/533,629.60
  6. Step 6: Final answer
    x = 444,937.07

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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.