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Finding the Fourth Proportional to 301,777.49, 416,296.78 and 204,986.33

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Solution

The fourth proportional to 301,777.49, 416,296.78 and 204,986.33 is: 282,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,777.49 : 416,296.78 = 204,986.33 : x
  2. Step 2: Convert to fraction form
    301,777.49/416,296.78 = 204,986.33/x
  3. Step 3: Cross multiply
    301,777.49x = 416,296.78 × 204,986.33
  4. Step 4: Simplify right side
    301,777.49x = 85,335,149,651.29
  5. Step 5: Solve for x
    x = 85,335,149,651.29/301,777.49
  6. Step 6: Final answer
    x = 282,775.07

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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.