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Finding the Fourth Proportional to 416,652.39, 625,008.02 and 206,233.83

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Solution

The fourth proportional to 416,652.39, 625,008.02 and 206,233.83 is: 309,365.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,652.39 : 625,008.02 = 206,233.83 : x
  2. Step 2: Convert to fraction form
    416,652.39/625,008.02 = 206,233.83/x
  3. Step 3: Cross multiply
    416,652.39x = 625,008.02 × 206,233.83
  4. Step 4: Simplify right side
    416,652.39x = 128,897,796,714.15
  5. Step 5: Solve for x
    x = 128,897,796,714.15/416,652.39
  6. Step 6: Final answer
    x = 309,365.31

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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.