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Finding the Fourth Proportional to 289,608.80, 434,413.20 and 269,925.80

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Solution

The fourth proportional to 289,608.80, 434,413.20 and 269,925.80 is: 404,888.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,608.80 : 434,413.20 = 269,925.80 : x
  2. Step 2: Convert to fraction form
    289,608.80/434,413.20 = 269,925.80/x
  3. Step 3: Cross multiply
    289,608.80x = 434,413.20 × 269,925.80
  4. Step 4: Simplify right side
    289,608.80x = 117,259,330,540.56
  5. Step 5: Solve for x
    x = 117,259,330,540.56/289,608.80
  6. Step 6: Final answer
    x = 404,888.70

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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.