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Finding the Fourth Proportional to 512,118.42, 706,794.57 and 285,778.50

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Solution

The fourth proportional to 512,118.42, 706,794.57 and 285,778.50 is: 394,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,118.42 : 706,794.57 = 285,778.50 : x
  2. Step 2: Convert to fraction form
    512,118.42/706,794.57 = 285,778.50/x
  3. Step 3: Cross multiply
    512,118.42x = 706,794.57 × 285,778.50
  4. Step 4: Simplify right side
    512,118.42x = 201,986,692,022.75
  5. Step 5: Solve for x
    x = 201,986,692,022.75/512,118.42
  6. Step 6: Final answer
    x = 394,414.03

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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.