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Finding the Fourth Proportional to 431,976.14, 647,438.90 and 305,652.79

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Solution

The fourth proportional to 431,976.14, 647,438.90 and 305,652.79 is: 458,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,976.14 : 647,438.90 = 305,652.79 : x
  2. Step 2: Convert to fraction form
    431,976.14/647,438.90 = 305,652.79/x
  3. Step 3: Cross multiply
    431,976.14x = 647,438.90 × 305,652.79
  4. Step 4: Simplify right side
    431,976.14x = 197,891,505,420.57
  5. Step 5: Solve for x
    x = 197,891,505,420.57/431,976.14
  6. Step 6: Final answer
    x = 458,107.49

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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.