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Finding the Fourth Proportional to 366,556.41, 505,847.49 and 205,412.61

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Solution

The fourth proportional to 366,556.41, 505,847.49 and 205,412.61 is: 283,469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,556.41 : 505,847.49 = 205,412.61 : x
  2. Step 2: Convert to fraction form
    366,556.41/505,847.49 = 205,412.61/x
  3. Step 3: Cross multiply
    366,556.41x = 505,847.49 × 205,412.61
  4. Step 4: Simplify right side
    366,556.41x = 103,907,453,182.85
  5. Step 5: Solve for x
    x = 103,907,453,182.85/366,556.41
  6. Step 6: Final answer
    x = 283,469.20

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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.