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Finding the Fourth Proportional to 363,997.80, 545,867.10 and 164,413.80

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Solution

The fourth proportional to 363,997.80, 545,867.10 and 164,413.80 is: 246,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,997.80 : 545,867.10 = 164,413.80 : x
  2. Step 2: Convert to fraction form
    363,997.80/545,867.10 = 164,413.80/x
  3. Step 3: Cross multiply
    363,997.80x = 545,867.10 × 164,413.80
  4. Step 4: Simplify right side
    363,997.80x = 89,748,084,205.98
  5. Step 5: Solve for x
    x = 89,748,084,205.98/363,997.80
  6. Step 6: Final answer
    x = 246,562.16

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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.