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Finding the Fourth Proportional to 263,204.16, 394,806.32 and 73,692.44

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Solution

The fourth proportional to 263,204.16, 394,806.32 and 73,692.44 is: 110,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,204.16 : 394,806.32 = 73,692.44 : x
  2. Step 2: Convert to fraction form
    263,204.16/394,806.32 = 73,692.44/x
  3. Step 3: Cross multiply
    263,204.16x = 394,806.32 × 73,692.44
  4. Step 4: Simplify right side
    263,204.16x = 29,094,241,048.22
  5. Step 5: Solve for x
    x = 29,094,241,048.22/263,204.16
  6. Step 6: Final answer
    x = 110,538.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.