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Finding the Fourth Proportional to 277,524.11, 416,452.24 and 119,752.56

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Solution

The fourth proportional to 277,524.11, 416,452.24 and 119,752.56 is: 179,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524.11 : 416,452.24 = 119,752.56 : x
  2. Step 2: Convert to fraction form
    277,524.11/416,452.24 = 119,752.56/x
  3. Step 3: Cross multiply
    277,524.11x = 416,452.24 × 119,752.56
  4. Step 4: Simplify right side
    277,524.11x = 49,871,221,857.73
  5. Step 5: Solve for x
    x = 49,871,221,857.73/277,524.11
  6. Step 6: Final answer
    x = 179,700.50

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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.