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Finding the Fourth Proportional to 362,924.64, 500,847.57 and 201,786.48

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Solution

The fourth proportional to 362,924.64, 500,847.57 and 201,786.48 is: 278,471.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,924.64 : 500,847.57 = 201,786.48 : x
  2. Step 2: Convert to fraction form
    362,924.64/500,847.57 = 201,786.48/x
  3. Step 3: Cross multiply
    362,924.64x = 500,847.57 × 201,786.48
  4. Step 4: Simplify right side
    362,924.64x = 101,064,268,166.85
  5. Step 5: Solve for x
    x = 101,064,268,166.85/362,924.64
  6. Step 6: Final answer
    x = 278,471.77

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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.