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Finding the Fourth Proportional to 285,803.20, 428,413.20 and 167,413.60

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Solution

The fourth proportional to 285,803.20, 428,413.20 and 167,413.60 is: 250,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,803.20 : 428,413.20 = 167,413.60 : x
  2. Step 2: Convert to fraction form
    285,803.20/428,413.20 = 167,413.60/x
  3. Step 3: Cross multiply
    285,803.20x = 428,413.20 × 167,413.60
  4. Step 4: Simplify right side
    285,803.20x = 71,722,196,099.52
  5. Step 5: Solve for x
    x = 71,722,196,099.52/285,803.20
  6. Step 6: Final answer
    x = 250,949.59

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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.