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Finding the Fourth Proportional to 416,654.14, 625,010.64 and 206,235.58

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Solution

The fourth proportional to 416,654.14, 625,010.64 and 206,235.58 is: 309,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,654.14 : 625,010.64 = 206,235.58 : x
  2. Step 2: Convert to fraction form
    416,654.14/625,010.64 = 206,235.58/x
  3. Step 3: Cross multiply
    416,654.14x = 625,010.64 × 206,235.58
  4. Step 4: Simplify right side
    416,654.14x = 128,899,431,846.57
  5. Step 5: Solve for x
    x = 128,899,431,846.57/416,654.14
  6. Step 6: Final answer
    x = 309,367.94

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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.