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Finding the Fourth Proportional to 290,138.14, 400,287.99 and 189,594.46

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Solution

The fourth proportional to 290,138.14, 400,287.99 and 189,594.46 is: 261,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,138.14 : 400,287.99 = 189,594.46 : x
  2. Step 2: Convert to fraction form
    290,138.14/400,287.99 = 189,594.46/x
  3. Step 3: Cross multiply
    290,138.14x = 400,287.99 × 189,594.46
  4. Step 4: Simplify right side
    290,138.14x = 75,892,385,308.54
  5. Step 5: Solve for x
    x = 75,892,385,308.54/290,138.14
  6. Step 6: Final answer
    x = 261,573.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.