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Finding the Fourth Proportional to 397,055.78, 595,694.82 and 160,564.52

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Solution

The fourth proportional to 397,055.78, 595,694.82 and 160,564.52 is: 240,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,055.78 : 595,694.82 = 160,564.52 : x
  2. Step 2: Convert to fraction form
    397,055.78/595,694.82 = 160,564.52/x
  3. Step 3: Cross multiply
    397,055.78x = 595,694.82 × 160,564.52
  4. Step 4: Simplify right side
    397,055.78x = 95,647,452,839.79
  5. Step 5: Solve for x
    x = 95,647,452,839.79/397,055.78
  6. Step 6: Final answer
    x = 240,891.73

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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.