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Finding the Fourth Proportional to 396,097.80, 594,233.10 and 115,592.20

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Solution

The fourth proportional to 396,097.80, 594,233.10 and 115,592.20 is: 173,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,097.80 : 594,233.10 = 115,592.20 : x
  2. Step 2: Convert to fraction form
    396,097.80/594,233.10 = 115,592.20/x
  3. Step 3: Cross multiply
    396,097.80x = 594,233.10 × 115,592.20
  4. Step 4: Simplify right side
    396,097.80x = 68,688,711,341.82
  5. Step 5: Solve for x
    x = 68,688,711,341.82/396,097.80
  6. Step 6: Final answer
    x = 173,413.51

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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.