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Finding the Fourth Proportional to 341,998.20, 512,997.30 and 200,280.60

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Solution

The fourth proportional to 341,998.20, 512,997.30 and 200,280.60 is: 300,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,998.20 : 512,997.30 = 200,280.60 : x
  2. Step 2: Convert to fraction form
    341,998.20/512,997.30 = 200,280.60/x
  3. Step 3: Cross multiply
    341,998.20x = 512,997.30 × 200,280.60
  4. Step 4: Simplify right side
    341,998.20x = 102,743,407,042.38
  5. Step 5: Solve for x
    x = 102,743,407,042.38/341,998.20
  6. Step 6: Final answer
    x = 300,420.90

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1.5x scale

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.