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Finding the Fourth Proportional to 590,234.31, 814,523.45 and 335,601.09

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Solution

The fourth proportional to 590,234.31, 814,523.45 and 335,601.09 is: 463,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,234.31 : 814,523.45 = 335,601.09 : x
  2. Step 2: Convert to fraction form
    590,234.31/814,523.45 = 335,601.09/x
  3. Step 3: Cross multiply
    590,234.31x = 814,523.45 × 335,601.09
  4. Step 4: Simplify right side
    590,234.31x = 273,354,955,972.56
  5. Step 5: Solve for x
    x = 273,354,955,972.56/590,234.31
  6. Step 6: Final answer
    x = 463,129.56

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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.