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Finding the Fourth Proportional to 512,578.50, 707,355.51 and 283,151.57

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Solution

The fourth proportional to 512,578.50, 707,355.51 and 283,151.57 is: 390,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,578.50 : 707,355.51 = 283,151.57 : x
  2. Step 2: Convert to fraction form
    512,578.50/707,355.51 = 283,151.57/x
  3. Step 3: Cross multiply
    512,578.50x = 707,355.51 × 283,151.57
  4. Step 4: Simplify right side
    512,578.50x = 200,288,823,204.65
  5. Step 5: Solve for x
    x = 200,288,823,204.65/512,578.50
  6. Step 6: Final answer
    x = 390,747.61

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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.