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Finding the Fourth Proportional to 304,004.48, 419,517.60 and 169,868.48

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Solution

The fourth proportional to 304,004.48, 419,517.60 and 169,868.48 is: 234,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,004.48 : 419,517.60 = 169,868.48 : x
  2. Step 2: Convert to fraction form
    304,004.48/419,517.60 = 169,868.48/x
  3. Step 3: Cross multiply
    304,004.48x = 419,517.60 × 169,868.48
  4. Step 4: Simplify right side
    304,004.48x = 71,262,817,045.25
  5. Step 5: Solve for x
    x = 71,262,817,045.25/304,004.48
  6. Step 6: Final answer
    x = 234,413.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.