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Finding the Fourth Proportional to 362,212.40, 499,905.09 and 217,023.92

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Solution

The fourth proportional to 362,212.40, 499,905.09 and 217,023.92 is: 299,524.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,212.40 : 499,905.09 = 217,023.92 : x
  2. Step 2: Convert to fraction form
    362,212.40/499,905.09 = 217,023.92/x
  3. Step 3: Cross multiply
    362,212.40x = 499,905.09 × 217,023.92
  4. Step 4: Simplify right side
    362,212.40x = 108,491,359,760.23
  5. Step 5: Solve for x
    x = 108,491,359,760.23/362,212.40
  6. Step 6: Final answer
    x = 299,524.14

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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.