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Finding the Fourth Proportional to 597,984.44, 825,418.49 and 356,342.81

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Solution

The fourth proportional to 597,984.44, 825,418.49 and 356,342.81 is: 491,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,984.44 : 825,418.49 = 356,342.81 : x
  2. Step 2: Convert to fraction form
    597,984.44/825,418.49 = 356,342.81/x
  3. Step 3: Cross multiply
    597,984.44x = 825,418.49 × 356,342.81
  4. Step 4: Simplify right side
    597,984.44x = 294,131,938,243.75
  5. Step 5: Solve for x
    x = 294,131,938,243.75/597,984.44
  6. Step 6: Final answer
    x = 491,872.23

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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.