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Finding the Fourth Proportional to 580,537.62, 801,161.78 and 322,418.61

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Solution

The fourth proportional to 580,537.62, 801,161.78 and 322,418.61 is: 444,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,537.62 : 801,161.78 = 322,418.61 : x
  2. Step 2: Convert to fraction form
    580,537.62/801,161.78 = 322,418.61/x
  3. Step 3: Cross multiply
    580,537.62x = 801,161.78 × 322,418.61
  4. Step 4: Simplify right side
    580,537.62x = 258,309,465,880.63
  5. Step 5: Solve for x
    x = 258,309,465,880.63/580,537.62
  6. Step 6: Final answer
    x = 444,948.71

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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.