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Finding the Fourth Proportional to 397,224.20, 597,002.70 and 345,902.60

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Solution

The fourth proportional to 397,224.20, 597,002.70 and 345,902.60 is: 519,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,224.20 : 597,002.70 = 345,902.60 : x
  2. Step 2: Convert to fraction form
    397,224.20/597,002.70 = 345,902.60/x
  3. Step 3: Cross multiply
    397,224.20x = 597,002.70 × 345,902.60
  4. Step 4: Simplify right side
    397,224.20x = 206,504,786,137.02
  5. Step 5: Solve for x
    x = 206,504,786,137.02/397,224.20
  6. Step 6: Final answer
    x = 519,869.60

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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.