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Finding the Fourth Proportional to 327,361.95, 490,899.77 and 165,156.19

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Solution

The fourth proportional to 327,361.95, 490,899.77 and 165,156.19 is: 247,662.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,361.95 : 490,899.77 = 165,156.19 : x
  2. Step 2: Convert to fraction form
    327,361.95/490,899.77 = 165,156.19/x
  3. Step 3: Cross multiply
    327,361.95x = 490,899.77 × 165,156.19
  4. Step 4: Simplify right side
    327,361.95x = 81,075,137,318.72
  5. Step 5: Solve for x
    x = 81,075,137,318.72/327,361.95
  6. Step 6: Final answer
    x = 247,662.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.