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Finding the Fourth Proportional to 599,286.80, 827,015.75 and 323,644.63

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Solution

The fourth proportional to 599,286.80, 827,015.75 and 323,644.63 is: 446,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,286.80 : 827,015.75 = 323,644.63 : x
  2. Step 2: Convert to fraction form
    599,286.80/827,015.75 = 323,644.63/x
  3. Step 3: Cross multiply
    599,286.80x = 827,015.75 × 323,644.63
  4. Step 4: Simplify right side
    599,286.80x = 267,659,204,581.23
  5. Step 5: Solve for x
    x = 267,659,204,581.23/599,286.80
  6. Step 6: Final answer
    x = 446,629.57

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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.