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Finding the Fourth Proportional to 312,240.38, 430,785.99 and 203,294.97

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Solution

The fourth proportional to 312,240.38, 430,785.99 and 203,294.97 is: 280,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,240.38 : 430,785.99 = 203,294.97 : x
  2. Step 2: Convert to fraction form
    312,240.38/430,785.99 = 203,294.97/x
  3. Step 3: Cross multiply
    312,240.38x = 430,785.99 × 203,294.97
  4. Step 4: Simplify right side
    312,240.38x = 87,576,624,913.47
  5. Step 5: Solve for x
    x = 87,576,624,913.47/312,240.38
  6. Step 6: Final answer
    x = 280,478.22

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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.