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Finding the Fourth Proportional to 313,849.05, 470,319.21 and 216,375.62

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Solution

The fourth proportional to 313,849.05, 470,319.21 and 216,375.62 is: 324,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,849.05 : 470,319.21 = 216,375.62 : x
  2. Step 2: Convert to fraction form
    313,849.05/470,319.21 = 216,375.62/x
  3. Step 3: Cross multiply
    313,849.05x = 470,319.21 × 216,375.62
  4. Step 4: Simplify right side
    313,849.05x = 101,765,608,310.06
  5. Step 5: Solve for x
    x = 101,765,608,310.06/313,849.05
  6. Step 6: Final answer
    x = 324,250.17

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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.