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Finding the Fourth Proportional to 362,650.40, 500,448.46 and 201,505.86

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Solution

The fourth proportional to 362,650.40, 500,448.46 and 201,505.86 is: 278,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,650.40 : 500,448.46 = 201,505.86 : x
  2. Step 2: Convert to fraction form
    362,650.40/500,448.46 = 201,505.86/x
  3. Step 3: Cross multiply
    362,650.40x = 500,448.46 × 201,505.86
  4. Step 4: Simplify right side
    362,650.40x = 100,843,296,814.21
  5. Step 5: Solve for x
    x = 100,843,296,814.21/362,650.40
  6. Step 6: Final answer
    x = 278,073.03

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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.