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Finding the Fourth Proportional to 362,892.81, 500,763.71 and 201,738.05

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Solution

The fourth proportional to 362,892.81, 500,763.71 and 201,738.05 is: 278,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,892.81 : 500,763.71 = 201,738.05 : x
  2. Step 2: Convert to fraction form
    362,892.81/500,763.71 = 201,738.05/x
  3. Step 3: Cross multiply
    362,892.81x = 500,763.71 × 201,738.05
  4. Step 4: Simplify right side
    362,892.81x = 101,023,090,853.66
  5. Step 5: Solve for x
    x = 101,023,090,853.66/362,892.81
  6. Step 6: Final answer
    x = 278,382.73

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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.