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Finding the Fourth Proportional to 398,847.43, 597,772.24 and 199,223.54

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Solution

The fourth proportional to 398,847.43, 597,772.24 and 199,223.54 is: 298,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,847.43 : 597,772.24 = 199,223.54 : x
  2. Step 2: Convert to fraction form
    398,847.43/597,772.24 = 199,223.54/x
  3. Step 3: Cross multiply
    398,847.43x = 597,772.24 × 199,223.54
  4. Step 4: Simplify right side
    398,847.43x = 119,090,300,521.26
  5. Step 5: Solve for x
    x = 119,090,300,521.26/398,847.43
  6. Step 6: Final answer
    x = 298,586.10

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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.