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Finding the Fourth Proportional to 333,692.44, 500,534.43 and 80,975

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Solution

The fourth proportional to 333,692.44, 500,534.43 and 80,975 is: 121,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,692.44 : 500,534.43 = 80,975 : x
  2. Step 2: Convert to fraction form
    333,692.44/500,534.43 = 80,975/x
  3. Step 3: Cross multiply
    333,692.44x = 500,534.43 × 80,975
  4. Step 4: Simplify right side
    333,692.44x = 40,530,775,469.25
  5. Step 5: Solve for x
    x = 40,530,775,469.25/333,692.44
  6. Step 6: Final answer
    x = 121,461.48

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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.