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Finding the Fourth Proportional to 412,716.52, 619,249.70 and 225,509.32

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Solution

The fourth proportional to 412,716.52, 619,249.70 and 225,509.32 is: 338,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,716.52 : 619,249.70 = 225,509.32 : x
  2. Step 2: Convert to fraction form
    412,716.52/619,249.70 = 225,509.32/x
  3. Step 3: Cross multiply
    412,716.52x = 619,249.70 × 225,509.32
  4. Step 4: Simplify right side
    412,716.52x = 139,646,578,757.20
  5. Step 5: Solve for x
    x = 139,646,578,757.20/412,716.52
  6. Step 6: Final answer
    x = 338,359.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.