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Finding the Fourth Proportional to 396,413.76, 594,711.42 and 171,811.92

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Solution

The fourth proportional to 396,413.76, 594,711.42 and 171,811.92 is: 257,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,413.76 : 594,711.42 = 171,811.92 : x
  2. Step 2: Convert to fraction form
    396,413.76/594,711.42 = 171,811.92/x
  3. Step 3: Cross multiply
    396,413.76x = 594,711.42 × 171,811.92
  4. Step 4: Simplify right side
    396,413.76x = 102,178,510,916.13
  5. Step 5: Solve for x
    x = 102,178,510,916.13/396,413.76
  6. Step 6: Final answer
    x = 257,757.23

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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.