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Finding the Fourth Proportional to 512,249.67, 706,247.37 and 420,029.19

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Solution

The fourth proportional to 512,249.67, 706,247.37 and 420,029.19 is: 579,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,249.67 : 706,247.37 = 420,029.19 : x
  2. Step 2: Convert to fraction form
    512,249.67/706,247.37 = 420,029.19/x
  3. Step 3: Cross multiply
    512,249.67x = 706,247.37 × 420,029.19
  4. Step 4: Simplify right side
    512,249.67x = 296,644,510,760.73
  5. Step 5: Solve for x
    x = 296,644,510,760.73/512,249.67
  6. Step 6: Final answer
    x = 579,101.42

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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.