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Finding the Fourth Proportional to 512,111.67, 706,785.26 and 285,771.75

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Solution

The fourth proportional to 512,111.67, 706,785.26 and 285,771.75 is: 394,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,111.67 : 706,785.26 = 285,771.75 : x
  2. Step 2: Convert to fraction form
    512,111.67/706,785.26 = 285,771.75/x
  3. Step 3: Cross multiply
    512,111.67x = 706,785.26 × 285,771.75
  4. Step 4: Simplify right side
    512,111.67x = 201,979,259,195.55
  5. Step 5: Solve for x
    x = 201,979,259,195.55/512,111.67
  6. Step 6: Final answer
    x = 394,404.72

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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.