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Finding the Fourth Proportional to 482,942.40, 724,413.60 and 167,431.20

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Solution

The fourth proportional to 482,942.40, 724,413.60 and 167,431.20 is: 251,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,942.40 : 724,413.60 = 167,431.20 : x
  2. Step 2: Convert to fraction form
    482,942.40/724,413.60 = 167,431.20/x
  3. Step 3: Cross multiply
    482,942.40x = 724,413.60 × 167,431.20
  4. Step 4: Simplify right side
    482,942.40x = 121,289,438,344.32
  5. Step 5: Solve for x
    x = 121,289,438,344.32/482,942.40
  6. Step 6: Final answer
    x = 251,146.80

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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.