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Finding the Fourth Proportional to 494,598.60, 741,023.10 and 419,365.80

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Solution

The fourth proportional to 494,598.60, 741,023.10 and 419,365.80 is: 628,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,598.60 : 741,023.10 = 419,365.80 : x
  2. Step 2: Convert to fraction form
    494,598.60/741,023.10 = 419,365.80/x
  3. Step 3: Cross multiply
    494,598.60x = 741,023.10 × 419,365.80
  4. Step 4: Simplify right side
    494,598.60x = 310,759,745,149.98
  5. Step 5: Solve for x
    x = 310,759,745,149.98/494,598.60
  6. Step 6: Final answer
    x = 628,306.96

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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.