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Finding the Fourth Proportional to 471,450.38, 706,049.95 and 271,350.16

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Solution

The fourth proportional to 471,450.38, 706,049.95 and 271,350.16 is: 406,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,450.38 : 706,049.95 = 271,350.16 : x
  2. Step 2: Convert to fraction form
    471,450.38/706,049.95 = 271,350.16/x
  3. Step 3: Cross multiply
    471,450.38x = 706,049.95 × 271,350.16
  4. Step 4: Simplify right side
    471,450.38x = 191,586,764,965.77
  5. Step 5: Solve for x
    x = 191,586,764,965.77/471,450.38
  6. Step 6: Final answer
    x = 406,377.37

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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.