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Finding the Fourth Proportional to 580,161.24, 800,609.82 and 322,022.94

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Solution

The fourth proportional to 580,161.24, 800,609.82 and 322,022.94 is: 444,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,161.24 : 800,609.82 = 322,022.94 : x
  2. Step 2: Convert to fraction form
    580,161.24/800,609.82 = 322,022.94/x
  3. Step 3: Cross multiply
    580,161.24x = 800,609.82 × 322,022.94
  4. Step 4: Simplify right side
    580,161.24x = 257,814,728,029.27
  5. Step 5: Solve for x
    x = 257,814,728,029.27/580,161.24
  6. Step 6: Final answer
    x = 444,384.61

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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.