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Finding the Fourth Proportional to 362,536.40, 500,380.26 and 201,446.84

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Solution

The fourth proportional to 362,536.40, 500,380.26 and 201,446.84 is: 278,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,536.40 : 500,380.26 = 201,446.84 : x
  2. Step 2: Convert to fraction form
    362,536.40/500,380.26 = 201,446.84/x
  3. Step 3: Cross multiply
    362,536.40x = 500,380.26 × 201,446.84
  4. Step 4: Simplify right side
    362,536.40x = 100,800,022,175.38
  5. Step 5: Solve for x
    x = 100,800,022,175.38/362,536.40
  6. Step 6: Final answer
    x = 278,041.11

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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.