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Finding the Fourth Proportional to 309,738.60, 464,422 and 107,268

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Solution

The fourth proportional to 309,738.60, 464,422 and 107,268 is: 160,837.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,738.60 : 464,422 = 107,268 : x
  2. Step 2: Convert to fraction form
    309,738.60/464,422 = 107,268/x
  3. Step 3: Cross multiply
    309,738.60x = 464,422 × 107,268
  4. Step 4: Simplify right side
    309,738.60x = 49,817,619,096
  5. Step 5: Solve for x
    x = 49,817,619,096/309,738.60
  6. Step 6: Final answer
    x = 160,837.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.