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Finding the Fourth Proportional to 323,322.88, 446,208 and 196,003.84

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Solution

The fourth proportional to 323,322.88, 446,208 and 196,003.84 is: 270,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,322.88 : 446,208 = 196,003.84 : x
  2. Step 2: Convert to fraction form
    323,322.88/446,208 = 196,003.84/x
  3. Step 3: Cross multiply
    323,322.88x = 446,208 × 196,003.84
  4. Step 4: Simplify right side
    323,322.88x = 87,458,481,438.72
  5. Step 5: Solve for x
    x = 87,458,481,438.72/323,322.88
  6. Step 6: Final answer
    x = 270,498.89

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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.