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Finding the Fourth Proportional to 431,431.70, 647,147.55 and 389,441.30

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Solution

The fourth proportional to 431,431.70, 647,147.55 and 389,441.30 is: 584,161.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,431.70 : 647,147.55 = 389,441.30 : x
  2. Step 2: Convert to fraction form
    431,431.70/647,147.55 = 389,441.30/x
  3. Step 3: Cross multiply
    431,431.70x = 647,147.55 × 389,441.30
  4. Step 4: Simplify right side
    431,431.70x = 252,025,983,163.82
  5. Step 5: Solve for x
    x = 252,025,983,163.82/431,431.70
  6. Step 6: Final answer
    x = 584,161.95

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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.