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Finding the Fourth Proportional to 290,201.38, 400,479.60 and 161,141.68

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Solution

The fourth proportional to 290,201.38, 400,479.60 and 161,141.68 is: 222,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,201.38 : 400,479.60 = 161,141.68 : x
  2. Step 2: Convert to fraction form
    290,201.38/400,479.60 = 161,141.68/x
  3. Step 3: Cross multiply
    290,201.38x = 400,479.60 × 161,141.68
  4. Step 4: Simplify right side
    290,201.38x = 64,533,955,549.73
  5. Step 5: Solve for x
    x = 64,533,955,549.73/290,201.38
  6. Step 6: Final answer
    x = 222,376.46

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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.