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Finding the Fourth Proportional to 362,022.44, 499,583.30 and 200,874.02

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Solution

The fourth proportional to 362,022.44, 499,583.30 and 200,874.02 is: 277,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,022.44 : 499,583.30 = 200,874.02 : x
  2. Step 2: Convert to fraction form
    362,022.44/499,583.30 = 200,874.02/x
  3. Step 3: Cross multiply
    362,022.44x = 499,583.30 × 200,874.02
  4. Step 4: Simplify right side
    362,022.44x = 100,353,302,293.58
  5. Step 5: Solve for x
    x = 100,353,302,293.58/362,022.44
  6. Step 6: Final answer
    x = 277,201.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.