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Finding the Fourth Proportional to 448,194, 672,500.82 and 223,571.79

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Solution

The fourth proportional to 448,194, 672,500.82 and 223,571.79 is: 335,462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,194 : 672,500.82 = 223,571.79 : x
  2. Step 2: Convert to fraction form
    448,194/672,500.82 = 223,571.79/x
  3. Step 3: Cross multiply
    448,194x = 672,500.82 × 223,571.79
  4. Step 4: Simplify right side
    448,194x = 150,352,212,103.87
  5. Step 5: Solve for x
    x = 150,352,212,103.87/448,194
  6. Step 6: Final answer
    x = 335,462.35

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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.