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Finding the Fourth Proportional to 366,204, 505,318.98 and 213,275.61

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Solution

The fourth proportional to 366,204, 505,318.98 and 213,275.61 is: 294,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,204 : 505,318.98 = 213,275.61 : x
  2. Step 2: Convert to fraction form
    366,204/505,318.98 = 213,275.61/x
  3. Step 3: Cross multiply
    366,204x = 505,318.98 × 213,275.61
  4. Step 4: Simplify right side
    366,204x = 107,772,213,704.08
  5. Step 5: Solve for x
    x = 107,772,213,704.08/366,204
  6. Step 6: Final answer
    x = 294,295.57

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