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Finding the Fourth Proportional to 297,249.88, 410,204.24 and 161,283.76

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Solution

The fourth proportional to 297,249.88, 410,204.24 and 161,283.76 is: 222,571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,249.88 : 410,204.24 = 161,283.76 : x
  2. Step 2: Convert to fraction form
    297,249.88/410,204.24 = 161,283.76/x
  3. Step 3: Cross multiply
    297,249.88x = 410,204.24 × 161,283.76
  4. Step 4: Simplify right side
    297,249.88x = 66,159,282,195.14
  5. Step 5: Solve for x
    x = 66,159,282,195.14/297,249.88
  6. Step 6: Final answer
    x = 222,571.27

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1.5x scale

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.