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Finding the Fourth Proportional to 577,118.50, 796,408.68 and 322,471.78

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Solution

The fourth proportional to 577,118.50, 796,408.68 and 322,471.78 is: 445,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,118.50 : 796,408.68 = 322,471.78 : x
  2. Step 2: Convert to fraction form
    577,118.50/796,408.68 = 322,471.78/x
  3. Step 3: Cross multiply
    577,118.50x = 796,408.68 × 322,471.78
  4. Step 4: Simplify right side
    577,118.50x = 256,819,324,647.05
  5. Step 5: Solve for x
    x = 256,819,324,647.05/577,118.50
  6. Step 6: Final answer
    x = 445,002.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.