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Finding the Fourth Proportional to 339,416.16, 468,401.80 and 196,182.24

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Solution

The fourth proportional to 339,416.16, 468,401.80 and 196,182.24 is: 270,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,416.16 : 468,401.80 = 196,182.24 : x
  2. Step 2: Convert to fraction form
    339,416.16/468,401.80 = 196,182.24/x
  3. Step 3: Cross multiply
    339,416.16x = 468,401.80 × 196,182.24
  4. Step 4: Simplify right side
    339,416.16x = 91,892,114,344.03
  5. Step 5: Solve for x
    x = 91,892,114,344.03/339,416.16
  6. Step 6: Final answer
    x = 270,735.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.