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Finding the Fourth Proportional to 402,413.79, 603,713.97 and 118,092.81

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Solution

The fourth proportional to 402,413.79, 603,713.97 and 118,092.81 is: 177,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,413.79 : 603,713.97 = 118,092.81 : x
  2. Step 2: Convert to fraction form
    402,413.79/603,713.97 = 118,092.81/x
  3. Step 3: Cross multiply
    402,413.79x = 603,713.97 × 118,092.81
  4. Step 4: Simplify right side
    402,413.79x = 71,294,279,153.56
  5. Step 5: Solve for x
    x = 71,294,279,153.56/402,413.79
  6. Step 6: Final answer
    x = 177,166.59

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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.