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Finding the Fourth Proportional to 596,786.71, 823,576.17 and 324,862.42

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Solution

The fourth proportional to 596,786.71, 823,576.17 and 324,862.42 is: 448,315.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,786.71 : 823,576.17 = 324,862.42 : x
  2. Step 2: Convert to fraction form
    596,786.71/823,576.17 = 324,862.42/x
  3. Step 3: Cross multiply
    596,786.71x = 823,576.17 × 324,862.42
  4. Step 4: Simplify right side
    596,786.71x = 267,548,947,640.53
  5. Step 5: Solve for x
    x = 267,548,947,640.53/596,786.71
  6. Step 6: Final answer
    x = 448,315.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.