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Finding the Fourth Proportional to 419,560.38, 579,212.10 and 326,219.22

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Solution

The fourth proportional to 419,560.38, 579,212.10 and 326,219.22 is: 450,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,560.38 : 579,212.10 = 326,219.22 : x
  2. Step 2: Convert to fraction form
    419,560.38/579,212.10 = 326,219.22/x
  3. Step 3: Cross multiply
    419,560.38x = 579,212.10 × 326,219.22
  4. Step 4: Simplify right side
    419,560.38x = 188,950,119,476.56
  5. Step 5: Solve for x
    x = 188,950,119,476.56/419,560.38
  6. Step 6: Final answer
    x = 450,352.63

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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.