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Finding the Fourth Proportional to 681,794.54, 1,022,691.90 and 208,479.92

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Solution

The fourth proportional to 681,794.54, 1,022,691.90 and 208,479.92 is: 312,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,794.54 : 1,022,691.90 = 208,479.92 : x
  2. Step 2: Convert to fraction form
    681,794.54/1,022,691.90 = 208,479.92/x
  3. Step 3: Cross multiply
    681,794.54x = 1,022,691.90 × 208,479.92
  4. Step 4: Simplify right side
    681,794.54x = 213,210,725,496.65
  5. Step 5: Solve for x
    x = 213,210,725,496.65/681,794.54
  6. Step 6: Final answer
    x = 312,719.91

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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.