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Finding the Fourth Proportional to 308,936.40, 463,577.40 and 131,413.20

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Solution

The fourth proportional to 308,936.40, 463,577.40 and 131,413.20 is: 197,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,936.40 : 463,577.40 = 131,413.20 : x
  2. Step 2: Convert to fraction form
    308,936.40/463,577.40 = 131,413.20/x
  3. Step 3: Cross multiply
    308,936.40x = 463,577.40 × 131,413.20
  4. Step 4: Simplify right side
    308,936.40x = 60,920,189,581.68
  5. Step 5: Solve for x
    x = 60,920,189,581.68/308,936.40
  6. Step 6: Final answer
    x = 197,193.30

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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.