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Finding the Fourth Proportional to 564,413.09, 846,611.04 and 391,144.97

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Solution

The fourth proportional to 564,413.09, 846,611.04 and 391,144.97 is: 586,711.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,413.09 : 846,611.04 = 391,144.97 : x
  2. Step 2: Convert to fraction form
    564,413.09/846,611.04 = 391,144.97/x
  3. Step 3: Cross multiply
    564,413.09x = 846,611.04 × 391,144.97
  4. Step 4: Simplify right side
    564,413.09x = 331,147,647,886.74
  5. Step 5: Solve for x
    x = 331,147,647,886.74/564,413.09
  6. Step 6: Final answer
    x = 586,711.50

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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.