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Finding the Fourth Proportional to 394,413.79, 544,290.82 and 213,125.67

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Solution

The fourth proportional to 394,413.79, 544,290.82 and 213,125.67 is: 294,113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,413.79 : 544,290.82 = 213,125.67 : x
  2. Step 2: Convert to fraction form
    394,413.79/544,290.82 = 213,125.67/x
  3. Step 3: Cross multiply
    394,413.79x = 544,290.82 × 213,125.67
  4. Step 4: Simplify right side
    394,413.79x = 116,002,345,999.49
  5. Step 5: Solve for x
    x = 116,002,345,999.49/394,413.79
  6. Step 6: Final answer
    x = 294,113.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.