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Finding the Fourth Proportional to 416,467.80, 624,622.89 and 203,021.46

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Solution

The fourth proportional to 416,467.80, 624,622.89 and 203,021.46 is: 304,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,467.80 : 624,622.89 = 203,021.46 : x
  2. Step 2: Convert to fraction form
    416,467.80/624,622.89 = 203,021.46/x
  3. Step 3: Cross multiply
    416,467.80x = 624,622.89 × 203,021.46
  4. Step 4: Simplify right side
    416,467.80x = 126,811,851,077.22
  5. Step 5: Solve for x
    x = 126,811,851,077.22/416,467.80
  6. Step 6: Final answer
    x = 304,493.77

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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.