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Finding the Fourth Proportional to 396,746.54, 595,042.31 and 126,802.27

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Solution

The fourth proportional to 396,746.54, 595,042.31 and 126,802.27 is: 190,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,746.54 : 595,042.31 = 126,802.27 : x
  2. Step 2: Convert to fraction form
    396,746.54/595,042.31 = 126,802.27/x
  3. Step 3: Cross multiply
    396,746.54x = 595,042.31 × 126,802.27
  4. Step 4: Simplify right side
    396,746.54x = 75,452,715,654.04
  5. Step 5: Solve for x
    x = 75,452,715,654.04/396,746.54
  6. Step 6: Final answer
    x = 190,178.64

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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.