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Finding the Fourth Proportional to 362,906.22, 500,838.61 and 217,717.44

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Solution

The fourth proportional to 362,906.22, 500,838.61 and 217,717.44 is: 300,466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,906.22 : 500,838.61 = 217,717.44 : x
  2. Step 2: Convert to fraction form
    362,906.22/500,838.61 = 217,717.44/x
  3. Step 3: Cross multiply
    362,906.22x = 500,838.61 × 217,717.44
  4. Step 4: Simplify right side
    362,906.22x = 109,041,301,315.47
  5. Step 5: Solve for x
    x = 109,041,301,315.47/362,906.22
  6. Step 6: Final answer
    x = 300,466.88

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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.