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Finding the Fourth Proportional to 419,979.60, 629,969.40 and 397,234.80

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Solution

The fourth proportional to 419,979.60, 629,969.40 and 397,234.80 is: 595,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,979.60 : 629,969.40 = 397,234.80 : x
  2. Step 2: Convert to fraction form
    419,979.60/629,969.40 = 397,234.80/x
  3. Step 3: Cross multiply
    419,979.60x = 629,969.40 × 397,234.80
  4. Step 4: Simplify right side
    419,979.60x = 250,245,768,615.12
  5. Step 5: Solve for x
    x = 250,245,768,615.12/419,979.60
  6. Step 6: Final answer
    x = 595,852.20

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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.