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Finding the Fourth Proportional to 275,998.40, 413,997.60 and 206,014.40

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Solution

The fourth proportional to 275,998.40, 413,997.60 and 206,014.40 is: 309,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,998.40 : 413,997.60 = 206,014.40 : x
  2. Step 2: Convert to fraction form
    275,998.40/413,997.60 = 206,014.40/x
  3. Step 3: Cross multiply
    275,998.40x = 413,997.60 × 206,014.40
  4. Step 4: Simplify right side
    275,998.40x = 85,289,467,165.44
  5. Step 5: Solve for x
    x = 85,289,467,165.44/275,998.40
  6. Step 6: Final answer
    x = 309,021.60

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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.