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Finding the Fourth Proportional to 512,186.78, 706,884.64 and 285,879.26

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Solution

The fourth proportional to 512,186.78, 706,884.64 and 285,879.26 is: 394,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,186.78 : 706,884.64 = 285,879.26 : x
  2. Step 2: Convert to fraction form
    512,186.78/706,884.64 = 285,879.26/x
  3. Step 3: Cross multiply
    512,186.78x = 706,884.64 × 285,879.26
  4. Step 4: Simplify right side
    512,186.78x = 202,083,657,788.57
  5. Step 5: Solve for x
    x = 202,083,657,788.57/512,186.78
  6. Step 6: Final answer
    x = 394,550.71

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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.