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Finding the Fourth Proportional to 410,626.91, 615,940.38 and 154,507.66

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Solution

The fourth proportional to 410,626.91, 615,940.38 and 154,507.66 is: 231,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,626.91 : 615,940.38 = 154,507.66 : x
  2. Step 2: Convert to fraction form
    410,626.91/615,940.38 = 154,507.66/x
  3. Step 3: Cross multiply
    410,626.91x = 615,940.38 × 154,507.66
  4. Step 4: Simplify right side
    410,626.91x = 95,167,505,273.46
  5. Step 5: Solve for x
    x = 95,167,505,273.46/410,626.91
  6. Step 6: Final answer
    x = 231,761.49

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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.