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Finding the Fourth Proportional to 444,756.96, 667,260 and 178,704.24

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Solution

The fourth proportional to 444,756.96, 667,260 and 178,704.24 is: 268,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,756.96 : 667,260 = 178,704.24 : x
  2. Step 2: Convert to fraction form
    444,756.96/667,260 = 178,704.24/x
  3. Step 3: Cross multiply
    444,756.96x = 667,260 × 178,704.24
  4. Step 4: Simplify right side
    444,756.96x = 119,242,191,182.40
  5. Step 5: Solve for x
    x = 119,242,191,182.40/444,756.96
  6. Step 6: Final answer
    x = 268,106.41

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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.