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Finding the Fourth Proportional to 398,671.91, 597,584.89 and 195,982.16

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Solution

The fourth proportional to 398,671.91, 597,584.89 and 195,982.16 is: 293,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,671.91 : 597,584.89 = 195,982.16 : x
  2. Step 2: Convert to fraction form
    398,671.91/597,584.89 = 195,982.16/x
  3. Step 3: Cross multiply
    398,671.91x = 597,584.89 × 195,982.16
  4. Step 4: Simplify right side
    398,671.91x = 117,115,978,529.57
  5. Step 5: Solve for x
    x = 117,115,978,529.57/398,671.91
  6. Step 6: Final answer
    x = 293,765.32

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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.