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Finding the Fourth Proportional to 493,857.26, 681,519.38 and 278,993.42

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Solution

The fourth proportional to 493,857.26, 681,519.38 and 278,993.42 is: 385,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,857.26 : 681,519.38 = 278,993.42 : x
  2. Step 2: Convert to fraction form
    493,857.26/681,519.38 = 278,993.42/x
  3. Step 3: Cross multiply
    493,857.26x = 681,519.38 × 278,993.42
  4. Step 4: Simplify right side
    493,857.26x = 190,139,422,622.48
  5. Step 5: Solve for x
    x = 190,139,422,622.48/493,857.26
  6. Step 6: Final answer
    x = 385,008.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.