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Finding the Fourth Proportional to 512,081.67, 706,672.17 and 285,727.17

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Solution

The fourth proportional to 512,081.67, 706,672.17 and 285,727.17 is: 394,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,081.67 : 706,672.17 = 285,727.17 : x
  2. Step 2: Convert to fraction form
    512,081.67/706,672.17 = 285,727.17/x
  3. Step 3: Cross multiply
    512,081.67x = 706,672.17 × 285,727.17
  4. Step 4: Simplify right side
    512,081.67x = 201,915,439,251.86
  5. Step 5: Solve for x
    x = 201,915,439,251.86/512,081.67
  6. Step 6: Final answer
    x = 394,303.20

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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.