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Finding the Fourth Proportional to 300,822.70, 415,025.49 and 179,967.46

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Solution

The fourth proportional to 300,822.70, 415,025.49 and 179,967.46 is: 248,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,822.70 : 415,025.49 = 179,967.46 : x
  2. Step 2: Convert to fraction form
    300,822.70/415,025.49 = 179,967.46/x
  3. Step 3: Cross multiply
    300,822.70x = 415,025.49 × 179,967.46
  4. Step 4: Simplify right side
    300,822.70x = 74,691,083,270.56
  5. Step 5: Solve for x
    x = 74,691,083,270.56/300,822.70
  6. Step 6: Final answer
    x = 248,289.39

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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.