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Finding the Fourth Proportional to 345,413.92, 518,190.72 and 145,734.78

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Solution

The fourth proportional to 345,413.92, 518,190.72 and 145,734.78 is: 218,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,413.92 : 518,190.72 = 145,734.78 : x
  2. Step 2: Convert to fraction form
    345,413.92/518,190.72 = 145,734.78/x
  3. Step 3: Cross multiply
    345,413.92x = 518,190.72 × 145,734.78
  4. Step 4: Simplify right side
    345,413.92x = 75,518,410,577.24
  5. Step 5: Solve for x
    x = 75,518,410,577.24/345,413.92
  6. Step 6: Final answer
    x = 218,631.64

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1.5x scale

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.