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Finding the Fourth Proportional to 474,091.72, 711,138.26 and 193,608.96

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Solution

The fourth proportional to 474,091.72, 711,138.26 and 193,608.96 is: 290,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,091.72 : 711,138.26 = 193,608.96 : x
  2. Step 2: Convert to fraction form
    474,091.72/711,138.26 = 193,608.96/x
  3. Step 3: Cross multiply
    474,091.72x = 711,138.26 × 193,608.96
  4. Step 4: Simplify right side
    474,091.72x = 137,682,738,934.81
  5. Step 5: Solve for x
    x = 137,682,738,934.81/474,091.72
  6. Step 6: Final answer
    x = 290,413.72

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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.