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Finding the Fourth Proportional to 299,524.14, 449,277.57 and 77,908.14

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Solution

The fourth proportional to 299,524.14, 449,277.57 and 77,908.14 is: 116,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,524.14 : 449,277.57 = 77,908.14 : x
  2. Step 2: Convert to fraction form
    299,524.14/449,277.57 = 77,908.14/x
  3. Step 3: Cross multiply
    299,524.14x = 449,277.57 × 77,908.14
  4. Step 4: Simplify right side
    299,524.14x = 35,002,379,822.42
  5. Step 5: Solve for x
    x = 35,002,379,822.42/299,524.14
  6. Step 6: Final answer
    x = 116,859.96

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1.5x scale

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.