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Finding the Fourth Proportional to 356,413.56, 491,456.69 and 227,147.46

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Solution

The fourth proportional to 356,413.56, 491,456.69 and 227,147.46 is: 313,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,413.56 : 491,456.69 = 227,147.46 : x
  2. Step 2: Convert to fraction form
    356,413.56/491,456.69 = 227,147.46/x
  3. Step 3: Cross multiply
    356,413.56x = 491,456.69 × 227,147.46
  4. Step 4: Simplify right side
    356,413.56x = 111,633,137,697.77
  5. Step 5: Solve for x
    x = 111,633,137,697.77/356,413.56
  6. Step 6: Final answer
    x = 313,212.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.