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Finding the Fourth Proportional to 599,766.49, 899,696.21 and 200,408.65

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Solution

The fourth proportional to 599,766.49, 899,696.21 and 200,408.65 is: 300,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,766.49 : 899,696.21 = 200,408.65 : x
  2. Step 2: Convert to fraction form
    599,766.49/899,696.21 = 200,408.65/x
  3. Step 3: Cross multiply
    599,766.49x = 899,696.21 × 200,408.65
  4. Step 4: Simplify right side
    599,766.49x = 180,306,902,856.22
  5. Step 5: Solve for x
    x = 180,306,902,856.22/599,766.49
  6. Step 6: Final answer
    x = 300,628.50

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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.