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Finding the Fourth Proportional to 397,000.20, 595,673.10 and 200,008.20

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Solution

The fourth proportional to 397,000.20, 595,673.10 and 200,008.20 is: 300,099.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,000.20 : 595,673.10 = 200,008.20 : x
  2. Step 2: Convert to fraction form
    397,000.20/595,673.10 = 200,008.20/x
  3. Step 3: Cross multiply
    397,000.20x = 595,673.10 × 200,008.20
  4. Step 4: Simplify right side
    397,000.20x = 119,139,504,519.42
  5. Step 5: Solve for x
    x = 119,139,504,519.42/397,000.20
  6. Step 6: Final answer
    x = 300,099.36

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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.