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Finding the Fourth Proportional to 392,794.92, 541,927.67 and 229,413.87

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Solution

The fourth proportional to 392,794.92, 541,927.67 and 229,413.87 is: 316,515.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,794.92 : 541,927.67 = 229,413.87 : x
  2. Step 2: Convert to fraction form
    392,794.92/541,927.67 = 229,413.87/x
  3. Step 3: Cross multiply
    392,794.92x = 541,927.67 × 229,413.87
  4. Step 4: Simplify right side
    392,794.92x = 124,325,722,887.71
  5. Step 5: Solve for x
    x = 124,325,722,887.71/392,794.92
  6. Step 6: Final answer
    x = 316,515.61

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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.