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Finding the Fourth Proportional to 512,279.36, 706,916.76 and 285,939.44

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Solution

The fourth proportional to 512,279.36, 706,916.76 and 285,939.44 is: 394,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,279.36 : 706,916.76 = 285,939.44 : x
  2. Step 2: Convert to fraction form
    512,279.36/706,916.76 = 285,939.44/x
  3. Step 3: Cross multiply
    512,279.36x = 706,916.76 × 285,939.44
  4. Step 4: Simplify right side
    512,279.36x = 202,135,382,481.01
  5. Step 5: Solve for x
    x = 202,135,382,481.01/512,279.36
  6. Step 6: Final answer
    x = 394,580.38

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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.