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Finding the Fourth Proportional to 442,933.80, 664,400.70 and 419,605.80

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Solution

The fourth proportional to 442,933.80, 664,400.70 and 419,605.80 is: 629,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,933.80 : 664,400.70 = 419,605.80 : x
  2. Step 2: Convert to fraction form
    442,933.80/664,400.70 = 419,605.80/x
  3. Step 3: Cross multiply
    442,933.80x = 664,400.70 × 419,605.80
  4. Step 4: Simplify right side
    442,933.80x = 278,786,387,244.06
  5. Step 5: Solve for x
    x = 278,786,387,244.06/442,933.80
  6. Step 6: Final answer
    x = 629,408.70

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1.5x scale

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.