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Finding the Fourth Proportional to 397,105.80, 595,601.10 and 116,593.80

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Solution

The fourth proportional to 397,105.80, 595,601.10 and 116,593.80 is: 174,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,105.80 : 595,601.10 = 116,593.80 : x
  2. Step 2: Convert to fraction form
    397,105.80/595,601.10 = 116,593.80/x
  3. Step 3: Cross multiply
    397,105.80x = 595,601.10 × 116,593.80
  4. Step 4: Simplify right side
    397,105.80x = 69,443,395,533.18
  5. Step 5: Solve for x
    x = 69,443,395,533.18/397,105.80
  6. Step 6: Final answer
    x = 174,873.79

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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.