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Finding the Fourth Proportional to 412,698.72, 619,223.04 and 225,491.52

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Solution

The fourth proportional to 412,698.72, 619,223.04 and 225,491.52 is: 338,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,698.72 : 619,223.04 = 225,491.52 : x
  2. Step 2: Convert to fraction form
    412,698.72/619,223.04 = 225,491.52/x
  3. Step 3: Cross multiply
    412,698.72x = 619,223.04 × 225,491.52
  4. Step 4: Simplify right side
    412,698.72x = 139,629,544,508.62
  5. Step 5: Solve for x
    x = 139,629,544,508.62/412,698.72
  6. Step 6: Final answer
    x = 338,332.88

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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.