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Finding the Fourth Proportional to 444,715.42, 667,197.85 and 178,662.77

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Solution

The fourth proportional to 444,715.42, 667,197.85 and 178,662.77 is: 268,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,715.42 : 667,197.85 = 178,662.77 : x
  2. Step 2: Convert to fraction form
    444,715.42/667,197.85 = 178,662.77/x
  3. Step 3: Cross multiply
    444,715.42x = 667,197.85 × 178,662.77
  4. Step 4: Simplify right side
    444,715.42x = 119,203,416,019.05
  5. Step 5: Solve for x
    x = 119,203,416,019.05/444,715.42
  6. Step 6: Final answer
    x = 268,044.26

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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.