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Finding the Fourth Proportional to 416,633.14, 624,979.14 and 206,214.58

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Solution

The fourth proportional to 416,633.14, 624,979.14 and 206,214.58 is: 309,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,633.14 : 624,979.14 = 206,214.58 : x
  2. Step 2: Convert to fraction form
    416,633.14/624,979.14 = 206,214.58/x
  3. Step 3: Cross multiply
    416,633.14x = 624,979.14 × 206,214.58
  4. Step 4: Simplify right side
    416,633.14x = 128,879,810,863.86
  5. Step 5: Solve for x
    x = 128,879,810,863.86/416,633.14
  6. Step 6: Final answer
    x = 309,336.44

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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.