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Finding the Fourth Proportional to 415,231.14, 622,846.60 and 237,612.59

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Solution

The fourth proportional to 415,231.14, 622,846.60 and 237,612.59 is: 356,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,231.14 : 622,846.60 = 237,612.59 : x
  2. Step 2: Convert to fraction form
    415,231.14/622,846.60 = 237,612.59/x
  3. Step 3: Cross multiply
    415,231.14x = 622,846.60 × 237,612.59
  4. Step 4: Simplify right side
    415,231.14x = 147,996,192,426.10
  5. Step 5: Solve for x
    x = 147,996,192,426.10/415,231.14
  6. Step 6: Final answer
    x = 356,418.82

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Why These Related Problems?

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