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Finding the Fourth Proportional to 419,939.60, 629,909.40 and 397,194.80

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Solution

The fourth proportional to 419,939.60, 629,909.40 and 397,194.80 is: 595,792.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,939.60 : 629,909.40 = 397,194.80 : x
  2. Step 2: Convert to fraction form
    419,939.60/629,909.40 = 397,194.80/x
  3. Step 3: Cross multiply
    419,939.60x = 629,909.40 × 397,194.80
  4. Step 4: Simplify right side
    419,939.60x = 250,196,738,151.12
  5. Step 5: Solve for x
    x = 250,196,738,151.12/419,939.60
  6. Step 6: Final answer
    x = 595,792.20

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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.