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Finding the Fourth Proportional to 290,384.38, 400,735.11 and 163,057.24

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Solution

The fourth proportional to 290,384.38, 400,735.11 and 163,057.24 is: 225,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,384.38 : 400,735.11 = 163,057.24 : x
  2. Step 2: Convert to fraction form
    290,384.38/400,735.11 = 163,057.24/x
  3. Step 3: Cross multiply
    290,384.38x = 400,735.11 × 163,057.24
  4. Step 4: Simplify right side
    290,384.38x = 65,342,761,007.70
  5. Step 5: Solve for x
    x = 65,342,761,007.70/290,384.38
  6. Step 6: Final answer
    x = 225,021.61

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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.