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Finding the Fourth Proportional to 382,806.28, 574,238.70 and 116,589.48

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Solution

The fourth proportional to 382,806.28, 574,238.70 and 116,589.48 is: 174,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,806.28 : 574,238.70 = 116,589.48 : x
  2. Step 2: Convert to fraction form
    382,806.28/574,238.70 = 116,589.48/x
  3. Step 3: Cross multiply
    382,806.28x = 574,238.70 × 116,589.48
  4. Step 4: Simplify right side
    382,806.28x = 66,950,191,428.88
  5. Step 5: Solve for x
    x = 66,950,191,428.88/382,806.28
  6. Step 6: Final answer
    x = 174,893.14

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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.