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Finding the Fourth Proportional to 361,858.12, 499,366.02 and 200,701.96

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Solution

The fourth proportional to 361,858.12, 499,366.02 and 200,701.96 is: 276,969.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,858.12 : 499,366.02 = 200,701.96 : x
  2. Step 2: Convert to fraction form
    361,858.12/499,366.02 = 200,701.96/x
  3. Step 3: Cross multiply
    361,858.12x = 499,366.02 × 200,701.96
  4. Step 4: Simplify right side
    361,858.12x = 100,223,738,971.40
  5. Step 5: Solve for x
    x = 100,223,738,971.40/361,858.12
  6. Step 6: Final answer
    x = 276,969.71

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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.