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Finding the Fourth Proportional to 296,847.96, 409,647 and 160,882.17

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Solution

The fourth proportional to 296,847.96, 409,647 and 160,882.17 is: 222,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,847.96 : 409,647 = 160,882.17 : x
  2. Step 2: Convert to fraction form
    296,847.96/409,647 = 160,882.17/x
  3. Step 3: Cross multiply
    296,847.96x = 409,647 × 160,882.17
  4. Step 4: Simplify right side
    296,847.96x = 65,904,898,293.99
  5. Step 5: Solve for x
    x = 65,904,898,293.99/296,847.96
  6. Step 6: Final answer
    x = 222,015.67

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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.