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Finding the Fourth Proportional to 444,823, 665,560.38 and 311,962.60

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Solution

The fourth proportional to 444,823, 665,560.38 and 311,962.60 is: 466,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,823 : 665,560.38 = 311,962.60 : x
  2. Step 2: Convert to fraction form
    444,823/665,560.38 = 311,962.60/x
  3. Step 3: Cross multiply
    444,823x = 665,560.38 × 311,962.60
  4. Step 4: Simplify right side
    444,823x = 207,629,946,601.79
  5. Step 5: Solve for x
    x = 207,629,946,601.79/444,823
  6. Step 6: Final answer
    x = 466,769.81

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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.