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Finding the Fourth Proportional to 361,433.34, 541,413.72 and 171,317.46

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Solution

The fourth proportional to 361,433.34, 541,413.72 and 171,317.46 is: 256,627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,433.34 : 541,413.72 = 171,317.46 : x
  2. Step 2: Convert to fraction form
    361,433.34/541,413.72 = 171,317.46/x
  3. Step 3: Cross multiply
    361,433.34x = 541,413.72 × 171,317.46
  4. Step 4: Simplify right side
    361,433.34x = 92,753,623,319.55
  5. Step 5: Solve for x
    x = 92,753,623,319.55/361,433.34
  6. Step 6: Final answer
    x = 256,627.19

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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.