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Finding the Fourth Proportional to 312,413.20, 431,132.26 and 169,173.25

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Solution

The fourth proportional to 312,413.20, 431,132.26 and 169,173.25 is: 233,460.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,413.20 : 431,132.26 = 169,173.25 : x
  2. Step 2: Convert to fraction form
    312,413.20/431,132.26 = 169,173.25/x
  3. Step 3: Cross multiply
    312,413.20x = 431,132.26 × 169,173.25
  4. Step 4: Simplify right side
    312,413.20x = 72,936,043,448.38
  5. Step 5: Solve for x
    x = 72,936,043,448.38/312,413.20
  6. Step 6: Final answer
    x = 233,460.19

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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.