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Finding the Fourth Proportional to 262,426.38, 362,322.72 and 201,890.22

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Solution

The fourth proportional to 262,426.38, 362,322.72 and 201,890.22 is: 278,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,426.38 : 362,322.72 = 201,890.22 : x
  2. Step 2: Convert to fraction form
    262,426.38/362,322.72 = 201,890.22/x
  3. Step 3: Cross multiply
    262,426.38x = 362,322.72 × 201,890.22
  4. Step 4: Simplify right side
    262,426.38x = 73,149,413,651.80
  5. Step 5: Solve for x
    x = 73,149,413,651.80/262,426.38
  6. Step 6: Final answer
    x = 278,742.61

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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.