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Finding the Fourth Proportional to 397,336.80, 595,227.60 and 239,095.20

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Solution

The fourth proportional to 397,336.80, 595,227.60 and 239,095.20 is: 358,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,336.80 : 595,227.60 = 239,095.20 : x
  2. Step 2: Convert to fraction form
    397,336.80/595,227.60 = 239,095.20/x
  3. Step 3: Cross multiply
    397,336.80x = 595,227.60 × 239,095.20
  4. Step 4: Simplify right side
    397,336.80x = 142,316,062,067.52
  5. Step 5: Solve for x
    x = 142,316,062,067.52/397,336.80
  6. Step 6: Final answer
    x = 358,174.88

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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.