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Finding the Fourth Proportional to 397,245.39, 595,868.37 and 116,959.47

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Solution

The fourth proportional to 397,245.39, 595,868.37 and 116,959.47 is: 175,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,245.39 : 595,868.37 = 116,959.47 : x
  2. Step 2: Convert to fraction form
    397,245.39/595,868.37 = 116,959.47/x
  3. Step 3: Cross multiply
    397,245.39x = 595,868.37 × 116,959.47
  4. Step 4: Simplify right side
    397,245.39x = 69,692,448,744.96
  5. Step 5: Solve for x
    x = 69,692,448,744.96/397,245.39
  6. Step 6: Final answer
    x = 175,439.29

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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.