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Finding the Fourth Proportional to 444,714.30, 667,196.16 and 178,661.65

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Solution

The fourth proportional to 444,714.30, 667,196.16 and 178,661.65 is: 268,042.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,714.30 : 667,196.16 = 178,661.65 : x
  2. Step 2: Convert to fraction form
    444,714.30/667,196.16 = 178,661.65/x
  3. Step 3: Cross multiply
    444,714.30x = 667,196.16 × 178,661.65
  4. Step 4: Simplify right side
    444,714.30x = 119,202,365,151.27
  5. Step 5: Solve for x
    x = 119,202,365,151.27/444,714.30
  6. Step 6: Final answer
    x = 268,042.57

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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.