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Finding the Fourth Proportional to 416,655.14, 625,012.14 and 206,236.58

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Solution

The fourth proportional to 416,655.14, 625,012.14 and 206,236.58 is: 309,369.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,655.14 : 625,012.14 = 206,236.58 : x
  2. Step 2: Convert to fraction form
    416,655.14/625,012.14 = 206,236.58/x
  3. Step 3: Cross multiply
    416,655.14x = 625,012.14 × 206,236.58
  4. Step 4: Simplify right side
    416,655.14x = 128,900,366,212.08
  5. Step 5: Solve for x
    x = 128,900,366,212.08/416,655.14
  6. Step 6: Final answer
    x = 309,369.44

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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.