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Finding the Fourth Proportional to 474,091.68, 711,138.22 and 193,608.94

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Solution

The fourth proportional to 474,091.68, 711,138.22 and 193,608.94 is: 290,413.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,091.68 : 711,138.22 = 193,608.94 : x
  2. Step 2: Convert to fraction form
    474,091.68/711,138.22 = 193,608.94/x
  3. Step 3: Cross multiply
    474,091.68x = 711,138.22 × 193,608.94
  4. Step 4: Simplify right side
    474,091.68x = 137,682,716,967.69
  5. Step 5: Solve for x
    x = 137,682,716,967.69/474,091.68
  6. Step 6: Final answer
    x = 290,413.70

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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.