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Finding the Fourth Proportional to 444,674, 667,195.80 and 178,623.20

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Solution

The fourth proportional to 444,674, 667,195.80 and 178,623.20 is: 268,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,674 : 667,195.80 = 178,623.20 : x
  2. Step 2: Convert to fraction form
    444,674/667,195.80 = 178,623.20/x
  3. Step 3: Cross multiply
    444,674x = 667,195.80 × 178,623.20
  4. Step 4: Simplify right side
    444,674x = 119,176,648,822.56
  5. Step 5: Solve for x
    x = 119,176,648,822.56/444,674
  6. Step 6: Final answer
    x = 268,009.03

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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.