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Finding the Fourth Proportional to 444,714.42, 667,196.35 and 178,661.77

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Solution

The fourth proportional to 444,714.42, 667,196.35 and 178,661.77 is: 268,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,714.42 : 667,196.35 = 178,661.77 : x
  2. Step 2: Convert to fraction form
    444,714.42/667,196.35 = 178,661.77/x
  3. Step 3: Cross multiply
    444,714.42x = 667,196.35 × 178,661.77
  4. Step 4: Simplify right side
    444,714.42x = 119,202,481,215.88
  5. Step 5: Solve for x
    x = 119,202,481,215.88/444,714.42
  6. Step 6: Final answer
    x = 268,042.76

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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.