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Finding the Fourth Proportional to 562,413.67, 843,616.43 and 225,449.41

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Solution

The fourth proportional to 562,413.67, 843,616.43 and 225,449.41 is: 338,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,413.67 : 843,616.43 = 225,449.41 : x
  2. Step 2: Convert to fraction form
    562,413.67/843,616.43 = 225,449.41/x
  3. Step 3: Cross multiply
    562,413.67x = 843,616.43 × 225,449.41
  4. Step 4: Simplify right side
    562,413.67x = 190,192,826,409.81
  5. Step 5: Solve for x
    x = 190,192,826,409.81/562,413.67
  6. Step 6: Final answer
    x = 338,172.48

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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.