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Finding the Fourth Proportional to 362,409, 500,110.72 and 201,274.43

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Solution

The fourth proportional to 362,409, 500,110.72 and 201,274.43 is: 277,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,409 : 500,110.72 = 201,274.43 : x
  2. Step 2: Convert to fraction form
    362,409/500,110.72 = 201,274.43/x
  3. Step 3: Cross multiply
    362,409x = 500,110.72 × 201,274.43
  4. Step 4: Simplify right side
    362,409x = 100,659,500,104.89
  5. Step 5: Solve for x
    x = 100,659,500,104.89/362,409
  6. Step 6: Final answer
    x = 277,751.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.