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Finding the Fourth Proportional to 252,467.70, 378,045.45 and 199,542.30

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Solution

The fourth proportional to 252,467.70, 378,045.45 and 199,542.30 is: 298,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,467.70 : 378,045.45 = 199,542.30 : x
  2. Step 2: Convert to fraction form
    252,467.70/378,045.45 = 199,542.30/x
  3. Step 3: Cross multiply
    252,467.70x = 378,045.45 × 199,542.30
  4. Step 4: Simplify right side
    252,467.70x = 75,436,058,597.54
  5. Step 5: Solve for x
    x = 75,436,058,597.54/252,467.70
  6. Step 6: Final answer
    x = 298,794.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.