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Finding the Fourth Proportional to 470,839.44, 649,729.30 and 264,096.45

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Solution

The fourth proportional to 470,839.44, 649,729.30 and 264,096.45 is: 364,436.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,839.44 : 649,729.30 = 264,096.45 : x
  2. Step 2: Convert to fraction form
    470,839.44/649,729.30 = 264,096.45/x
  3. Step 3: Cross multiply
    470,839.44x = 649,729.30 × 264,096.45
  4. Step 4: Simplify right side
    470,839.44x = 171,591,200,626.90
  5. Step 5: Solve for x
    x = 171,591,200,626.90/470,839.44
  6. Step 6: Final answer
    x = 364,436.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.