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Finding the Fourth Proportional to 512,053.35, 706,618.94 and 285,693.99

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Solution

The fourth proportional to 512,053.35, 706,618.94 and 285,693.99 is: 394,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,053.35 : 706,618.94 = 285,693.99 : x
  2. Step 2: Convert to fraction form
    512,053.35/706,618.94 = 285,693.99/x
  3. Step 3: Cross multiply
    512,053.35x = 706,618.94 × 285,693.99
  4. Step 4: Simplify right side
    512,053.35x = 201,876,782,949.70
  5. Step 5: Solve for x
    x = 201,876,782,949.70/512,053.35
  6. Step 6: Final answer
    x = 394,249.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.