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Finding the Fourth Proportional to 398,716.60, 598,247.70 and 188,246.20

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Solution

The fourth proportional to 398,716.60, 598,247.70 and 188,246.20 is: 282,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,716.60 : 598,247.70 = 188,246.20 : x
  2. Step 2: Convert to fraction form
    398,716.60/598,247.70 = 188,246.20/x
  3. Step 3: Cross multiply
    398,716.60x = 598,247.70 × 188,246.20
  4. Step 4: Simplify right side
    398,716.60x = 112,617,856,183.74
  5. Step 5: Solve for x
    x = 112,617,856,183.74/398,716.60
  6. Step 6: Final answer
    x = 282,450.88

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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.