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Finding the Fourth Proportional to 419,234.64, 628,949.43 and 119,719.32

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Solution

The fourth proportional to 419,234.64, 628,949.43 and 119,719.32 is: 179,606.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,234.64 : 628,949.43 = 119,719.32 : x
  2. Step 2: Convert to fraction form
    419,234.64/628,949.43 = 119,719.32/x
  3. Step 3: Cross multiply
    419,234.64x = 628,949.43 × 119,719.32
  4. Step 4: Simplify right side
    419,234.64x = 75,297,398,073.99
  5. Step 5: Solve for x
    x = 75,297,398,073.99/419,234.64
  6. Step 6: Final answer
    x = 179,606.81

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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.