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Finding the Fourth Proportional to 362,006.53, 499,561.38 and 200,858.11

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Solution

The fourth proportional to 362,006.53, 499,561.38 and 200,858.11 is: 277,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,006.53 : 499,561.38 = 200,858.11 : x
  2. Step 2: Convert to fraction form
    362,006.53/499,561.38 = 200,858.11/x
  3. Step 3: Cross multiply
    362,006.53x = 499,561.38 × 200,858.11
  4. Step 4: Simplify right side
    362,006.53x = 100,340,954,615.79
  5. Step 5: Solve for x
    x = 100,340,954,615.79/362,006.53
  6. Step 6: Final answer
    x = 277,179.96

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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.