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Finding the Fourth Proportional to 600,772.45, 900,163.50 and 422,408.02

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Solution

The fourth proportional to 600,772.45, 900,163.50 and 422,408.02 is: 632,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,772.45 : 900,163.50 = 422,408.02 : x
  2. Step 2: Convert to fraction form
    600,772.45/900,163.50 = 422,408.02/x
  3. Step 3: Cross multiply
    600,772.45x = 900,163.50 × 422,408.02
  4. Step 4: Simplify right side
    600,772.45x = 380,236,281,711.27
  5. Step 5: Solve for x
    x = 380,236,281,711.27/600,772.45
  6. Step 6: Final answer
    x = 632,912.31

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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.