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Finding the Fourth Proportional to 582,293.25, 803,576.97 and 327,644.46

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Solution

The fourth proportional to 582,293.25, 803,576.97 and 327,644.46 is: 452,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,293.25 : 803,576.97 = 327,644.46 : x
  2. Step 2: Convert to fraction form
    582,293.25/803,576.97 = 327,644.46/x
  3. Step 3: Cross multiply
    582,293.25x = 803,576.97 × 327,644.46
  4. Step 4: Simplify right side
    582,293.25x = 263,287,542,404.09
  5. Step 5: Solve for x
    x = 263,287,542,404.09/582,293.25
  6. Step 6: Final answer
    x = 452,156.27

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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.