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Finding the Fourth Proportional to 413,715.20, 620,572.80 and 394,469.60

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Solution

The fourth proportional to 413,715.20, 620,572.80 and 394,469.60 is: 591,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,715.20 : 620,572.80 = 394,469.60 : x
  2. Step 2: Convert to fraction form
    413,715.20/620,572.80 = 394,469.60/x
  3. Step 3: Cross multiply
    413,715.20x = 620,572.80 × 394,469.60
  4. Step 4: Simplify right side
    413,715.20x = 244,797,104,186.88
  5. Step 5: Solve for x
    x = 244,797,104,186.88/413,715.20
  6. Step 6: Final answer
    x = 591,704.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.