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Finding the Fourth Proportional to 327,088.68, 490,642.26 and 90,431.34

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Solution

The fourth proportional to 327,088.68, 490,642.26 and 90,431.34 is: 135,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,088.68 : 490,642.26 = 90,431.34 : x
  2. Step 2: Convert to fraction form
    327,088.68/490,642.26 = 90,431.34/x
  3. Step 3: Cross multiply
    327,088.68x = 490,642.26 × 90,431.34
  4. Step 4: Simplify right side
    327,088.68x = 44,369,437,032.43
  5. Step 5: Solve for x
    x = 44,369,437,032.43/327,088.68
  6. Step 6: Final answer
    x = 135,649.56

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