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Finding the Fourth Proportional to 293,713.38, 405,340.56 and 166,413.78

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Solution

The fourth proportional to 293,713.38, 405,340.56 and 166,413.78 is: 229,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,713.38 : 405,340.56 = 166,413.78 : x
  2. Step 2: Convert to fraction form
    293,713.38/405,340.56 = 166,413.78/x
  3. Step 3: Cross multiply
    293,713.38x = 405,340.56 × 166,413.78
  4. Step 4: Simplify right side
    293,713.38x = 67,454,254,776.92
  5. Step 5: Solve for x
    x = 67,454,254,776.92/293,713.38
  6. Step 6: Final answer
    x = 229,660.14

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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.