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Finding the Fourth Proportional to 419,954.20, 629,931.30 and 210,002.20

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Solution

The fourth proportional to 419,954.20, 629,931.30 and 210,002.20 is: 315,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,954.20 : 629,931.30 = 210,002.20 : x
  2. Step 2: Convert to fraction form
    419,954.20/629,931.30 = 210,002.20/x
  3. Step 3: Cross multiply
    419,954.20x = 629,931.30 × 210,002.20
  4. Step 4: Simplify right side
    419,954.20x = 132,286,958,848.86
  5. Step 5: Solve for x
    x = 132,286,958,848.86/419,954.20
  6. Step 6: Final answer
    x = 315,003.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.