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Finding the Fourth Proportional to 416,645.64, 624,997.89 and 206,227.08

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Solution

The fourth proportional to 416,645.64, 624,997.89 and 206,227.08 is: 309,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,645.64 : 624,997.89 = 206,227.08 : x
  2. Step 2: Convert to fraction form
    416,645.64/624,997.89 = 206,227.08/x
  3. Step 3: Cross multiply
    416,645.64x = 624,997.89 × 206,227.08
  4. Step 4: Simplify right side
    416,645.64x = 128,891,489,860.86
  5. Step 5: Solve for x
    x = 128,891,489,860.86/416,645.64
  6. Step 6: Final answer
    x = 309,355.19

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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.