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Finding the Fourth Proportional to 599,921.82, 899,929.17 and 200,564.07

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Solution

The fourth proportional to 599,921.82, 899,929.17 and 200,564.07 is: 300,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,921.82 : 899,929.17 = 200,564.07 : x
  2. Step 2: Convert to fraction form
    599,921.82/899,929.17 = 200,564.07/x
  3. Step 3: Cross multiply
    599,921.82x = 899,929.17 × 200,564.07
  4. Step 4: Simplify right side
    599,921.82x = 180,493,457,046.92
  5. Step 5: Solve for x
    x = 180,493,457,046.92/599,921.82
  6. Step 6: Final answer
    x = 300,861.63

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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.