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Finding the Fourth Proportional to 325,571.80, 449,267.70 and 182,299

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Solution

The fourth proportional to 325,571.80, 449,267.70 and 182,299 is: 251,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,571.80 : 449,267.70 = 182,299 : x
  2. Step 2: Convert to fraction form
    325,571.80/449,267.70 = 182,299/x
  3. Step 3: Cross multiply
    325,571.80x = 449,267.70 × 182,299
  4. Step 4: Simplify right side
    325,571.80x = 81,901,052,442.30
  5. Step 5: Solve for x
    x = 81,901,052,442.30/325,571.80
  6. Step 6: Final answer
    x = 251,560.65

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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.