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Finding the Fourth Proportional to 396,298.50, 594,322.97 and 129,997.14

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Solution

The fourth proportional to 396,298.50, 594,322.97 and 129,997.14 is: 194,954.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,298.50 : 594,322.97 = 129,997.14 : x
  2. Step 2: Convert to fraction form
    396,298.50/594,322.97 = 129,997.14/x
  3. Step 3: Cross multiply
    396,298.50x = 594,322.97 × 129,997.14
  4. Step 4: Simplify right side
    396,298.50x = 77,260,285,686.32
  5. Step 5: Solve for x
    x = 77,260,285,686.32/396,298.50
  6. Step 6: Final answer
    x = 194,954.78

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