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Finding the Fourth Proportional to 362,896.06, 500,768.19 and 201,741.30

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Solution

The fourth proportional to 362,896.06, 500,768.19 and 201,741.30 is: 278,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,896.06 : 500,768.19 = 201,741.30 : x
  2. Step 2: Convert to fraction form
    362,896.06/500,768.19 = 201,741.30/x
  3. Step 3: Cross multiply
    362,896.06x = 500,768.19 × 201,741.30
  4. Step 4: Simplify right side
    362,896.06x = 101,025,625,649.25
  5. Step 5: Solve for x
    x = 101,025,625,649.25/362,896.06
  6. Step 6: Final answer
    x = 278,387.22

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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.