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Finding the Fourth Proportional to 418,176.87, 627,170.73 and 193,413.97

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Solution

The fourth proportional to 418,176.87, 627,170.73 and 193,413.97 is: 290,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,176.87 : 627,170.73 = 193,413.97 : x
  2. Step 2: Convert to fraction form
    418,176.87/627,170.73 = 193,413.97/x
  3. Step 3: Cross multiply
    418,176.87x = 627,170.73 × 193,413.97
  4. Step 4: Simplify right side
    418,176.87x = 121,303,580,757.10
  5. Step 5: Solve for x
    x = 121,303,580,757.10/418,176.87
  6. Step 6: Final answer
    x = 290,077.22

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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.