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Finding the Fourth Proportional to 538,136.10, 806,650.25 and 238,757.67

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Solution

The fourth proportional to 538,136.10, 806,650.25 and 238,757.67 is: 357,890.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,136.10 : 806,650.25 = 238,757.67 : x
  2. Step 2: Convert to fraction form
    538,136.10/806,650.25 = 238,757.67/x
  3. Step 3: Cross multiply
    538,136.10x = 806,650.25 × 238,757.67
  4. Step 4: Simplify right side
    538,136.10x = 192,593,933,001.13
  5. Step 5: Solve for x
    x = 192,593,933,001.13/538,136.10
  6. Step 6: Final answer
    x = 357,890.75

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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.