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Finding the Fourth Proportional to 599,696.07, 899,238.47 and 200,193.27

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Solution

The fourth proportional to 599,696.07, 899,238.47 and 200,193.27 is: 300,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,696.07 : 899,238.47 = 200,193.27 : x
  2. Step 2: Convert to fraction form
    599,696.07/899,238.47 = 200,193.27/x
  3. Step 3: Cross multiply
    599,696.07x = 899,238.47 × 200,193.27
  4. Step 4: Simplify right side
    599,696.07x = 180,021,491,816.95
  5. Step 5: Solve for x
    x = 180,021,491,816.95/599,696.07
  6. Step 6: Final answer
    x = 300,187.88

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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.