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Finding the Fourth Proportional to 397,768.20, 595,996.20 and 338,719.20

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Solution

The fourth proportional to 397,768.20, 595,996.20 and 338,719.20 is: 507,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,768.20 : 595,996.20 = 338,719.20 : x
  2. Step 2: Convert to fraction form
    397,768.20/595,996.20 = 338,719.20/x
  3. Step 3: Cross multiply
    397,768.20x = 595,996.20 × 338,719.20
  4. Step 4: Simplify right side
    397,768.20x = 201,875,356,067.04
  5. Step 5: Solve for x
    x = 201,875,356,067.04/397,768.20
  6. Step 6: Final answer
    x = 507,520.10

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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.