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Finding the Fourth Proportional to 597,659.82, 825,578.24 and 477,642.30

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Solution

The fourth proportional to 597,659.82, 825,578.24 and 477,642.30 is: 659,791.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,659.82 : 825,578.24 = 477,642.30 : x
  2. Step 2: Convert to fraction form
    597,659.82/825,578.24 = 477,642.30/x
  3. Step 3: Cross multiply
    597,659.82x = 825,578.24 × 477,642.30
  4. Step 4: Simplify right side
    597,659.82x = 394,331,089,383.55
  5. Step 5: Solve for x
    x = 394,331,089,383.55/597,659.82
  6. Step 6: Final answer
    x = 659,791.87

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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.