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Finding the Fourth Proportional to 397,505.39, 596,261.64 and 113,195.70

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Solution

The fourth proportional to 397,505.39, 596,261.64 and 113,195.70 is: 169,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,505.39 : 596,261.64 = 113,195.70 : x
  2. Step 2: Convert to fraction form
    397,505.39/596,261.64 = 113,195.70/x
  3. Step 3: Cross multiply
    397,505.39x = 596,261.64 × 113,195.70
  4. Step 4: Simplify right side
    397,505.39x = 67,494,253,722.95
  5. Step 5: Solve for x
    x = 67,494,253,722.95/397,505.39
  6. Step 6: Final answer
    x = 169,794.56

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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.