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Finding the Fourth Proportional to 512,279.86, 706,917.45 and 285,939.94

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Solution

The fourth proportional to 512,279.86, 706,917.45 and 285,939.94 is: 394,581.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,279.86 : 706,917.45 = 285,939.94 : x
  2. Step 2: Convert to fraction form
    512,279.86/706,917.45 = 285,939.94/x
  3. Step 3: Cross multiply
    512,279.86x = 706,917.45 × 285,939.94
  4. Step 4: Simplify right side
    512,279.86x = 202,135,933,237.95
  5. Step 5: Solve for x
    x = 202,135,933,237.95/512,279.86
  6. Step 6: Final answer
    x = 394,581.07

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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.