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Finding the Fourth Proportional to 533,146.82, 799,770.36 and 196,193.92

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Solution

The fourth proportional to 533,146.82, 799,770.36 and 196,193.92 is: 294,309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,146.82 : 799,770.36 = 196,193.92 : x
  2. Step 2: Convert to fraction form
    533,146.82/799,770.36 = 196,193.92/x
  3. Step 3: Cross multiply
    533,146.82x = 799,770.36 × 196,193.92
  4. Step 4: Simplify right side
    533,146.82x = 156,910,082,028.21
  5. Step 5: Solve for x
    x = 156,910,082,028.21/533,146.82
  6. Step 6: Final answer
    x = 294,309.33

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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.