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Finding the Fourth Proportional to 444,780, 667,239.12 and 149,361.12

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Solution

The fourth proportional to 444,780, 667,239.12 and 149,361.12 is: 224,064.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,780 : 667,239.12 = 149,361.12 : x
  2. Step 2: Convert to fraction form
    444,780/667,239.12 = 149,361.12/x
  3. Step 3: Cross multiply
    444,780x = 667,239.12 × 149,361.12
  4. Step 4: Simplify right side
    444,780x = 99,659,582,271.01
  5. Step 5: Solve for x
    x = 99,659,582,271.01/444,780
  6. Step 6: Final answer
    x = 224,064.89

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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.