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Finding the Fourth Proportional to 382,896.74, 574,538.87 and 158,418.27

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Solution

The fourth proportional to 382,896.74, 574,538.87 and 158,418.27 is: 237,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,896.74 : 574,538.87 = 158,418.27 : x
  2. Step 2: Convert to fraction form
    382,896.74/574,538.87 = 158,418.27/x
  3. Step 3: Cross multiply
    382,896.74x = 574,538.87 × 158,418.27
  4. Step 4: Simplify right side
    382,896.74x = 91,017,454,229.20
  5. Step 5: Solve for x
    x = 91,017,454,229.20/382,896.74
  6. Step 6: Final answer
    x = 237,707.57

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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.