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Finding the Fourth Proportional to 499,270.80, 748,906.20 and 199,797.60

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Solution

The fourth proportional to 499,270.80, 748,906.20 and 199,797.60 is: 299,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,270.80 : 748,906.20 = 199,797.60 : x
  2. Step 2: Convert to fraction form
    499,270.80/748,906.20 = 199,797.60/x
  3. Step 3: Cross multiply
    499,270.80x = 748,906.20 × 199,797.60
  4. Step 4: Simplify right side
    499,270.80x = 149,629,661,385.12
  5. Step 5: Solve for x
    x = 149,629,661,385.12/499,270.80
  6. Step 6: Final answer
    x = 299,696.40

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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.