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Finding the Fourth Proportional to 366,584.57, 505,906.91 and 205,491.36

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Solution

The fourth proportional to 366,584.57, 505,906.91 and 205,491.36 is: 283,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,584.57 : 505,906.91 = 205,491.36 : x
  2. Step 2: Convert to fraction form
    366,584.57/505,906.91 = 205,491.36/x
  3. Step 3: Cross multiply
    366,584.57x = 505,906.91 × 205,491.36
  4. Step 4: Simplify right side
    366,584.57x = 103,959,501,765.47
  5. Step 5: Solve for x
    x = 103,959,501,765.47/366,584.57
  6. Step 6: Final answer
    x = 283,589.41

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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.