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Finding the Fourth Proportional to 398,542.80, 597,814.20 and 161,893.20

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Solution

The fourth proportional to 398,542.80, 597,814.20 and 161,893.20 is: 242,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,542.80 : 597,814.20 = 161,893.20 : x
  2. Step 2: Convert to fraction form
    398,542.80/597,814.20 = 161,893.20/x
  3. Step 3: Cross multiply
    398,542.80x = 597,814.20 × 161,893.20
  4. Step 4: Simplify right side
    398,542.80x = 96,782,053,843.44
  5. Step 5: Solve for x
    x = 96,782,053,843.44/398,542.80
  6. Step 6: Final answer
    x = 242,839.80

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1.5x scale

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.