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Finding the Fourth Proportional to 325,845.60, 488,768.40 and 166,413.30

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Solution

The fourth proportional to 325,845.60, 488,768.40 and 166,413.30 is: 249,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,845.60 : 488,768.40 = 166,413.30 : x
  2. Step 2: Convert to fraction form
    325,845.60/488,768.40 = 166,413.30/x
  3. Step 3: Cross multiply
    325,845.60x = 488,768.40 × 166,413.30
  4. Step 4: Simplify right side
    325,845.60x = 81,337,562,379.72
  5. Step 5: Solve for x
    x = 81,337,562,379.72/325,845.60
  6. Step 6: Final answer
    x = 249,619.95

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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.