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Finding the Fourth Proportional to 533,580.72, 800,413.16 and 178,596.04

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Solution

The fourth proportional to 533,580.72, 800,413.16 and 178,596.04 is: 267,908.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,580.72 : 800,413.16 = 178,596.04 : x
  2. Step 2: Convert to fraction form
    533,580.72/800,413.16 = 178,596.04/x
  3. Step 3: Cross multiply
    533,580.72x = 800,413.16 × 178,596.04
  4. Step 4: Simplify right side
    533,580.72x = 142,950,620,739.89
  5. Step 5: Solve for x
    x = 142,950,620,739.89/533,580.72
  6. Step 6: Final answer
    x = 267,908.14

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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.