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Finding the Fourth Proportional to 407,195.52, 561,997.27 and 225,965.67

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Solution

The fourth proportional to 407,195.52, 561,997.27 and 225,965.67 is: 311,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,195.52 : 561,997.27 = 225,965.67 : x
  2. Step 2: Convert to fraction form
    407,195.52/561,997.27 = 225,965.67/x
  3. Step 3: Cross multiply
    407,195.52x = 561,997.27 × 225,965.67
  4. Step 4: Simplify right side
    407,195.52x = 126,992,086,843.74
  5. Step 5: Solve for x
    x = 126,992,086,843.74/407,195.52
  6. Step 6: Final answer
    x = 311,870.05

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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.