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Finding the Fourth Proportional to 378,092.49, 567,226.22 and 220,453.53

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Solution

The fourth proportional to 378,092.49, 567,226.22 and 220,453.53 is: 330,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,092.49 : 567,226.22 = 220,453.53 : x
  2. Step 2: Convert to fraction form
    378,092.49/567,226.22 = 220,453.53/x
  3. Step 3: Cross multiply
    378,092.49x = 567,226.22 × 220,453.53
  4. Step 4: Simplify right side
    378,092.49x = 125,047,021,405.29
  5. Step 5: Solve for x
    x = 125,047,021,405.29/378,092.49
  6. Step 6: Final answer
    x = 330,731.30

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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.