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Finding the Fourth Proportional to 419,954.20, 629,931.30 and 325,475.80

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Solution

The fourth proportional to 419,954.20, 629,931.30 and 325,475.80 is: 488,213.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,954.20 : 629,931.30 = 325,475.80 : x
  2. Step 2: Convert to fraction form
    419,954.20/629,931.30 = 325,475.80/x
  3. Step 3: Cross multiply
    419,954.20x = 629,931.30 × 325,475.80
  4. Step 4: Simplify right side
    419,954.20x = 205,027,393,812.54
  5. Step 5: Solve for x
    x = 205,027,393,812.54/419,954.20
  6. Step 6: Final answer
    x = 488,213.70

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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.