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Finding the Fourth Proportional to 327,638.36, 491,457.74 and 90,981.06

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Solution

The fourth proportional to 327,638.36, 491,457.74 and 90,981.06 is: 136,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,638.36 : 491,457.74 = 90,981.06 : x
  2. Step 2: Convert to fraction form
    327,638.36/491,457.74 = 90,981.06/x
  3. Step 3: Cross multiply
    327,638.36x = 491,457.74 × 90,981.06
  4. Step 4: Simplify right side
    327,638.36x = 44,713,345,675.50
  5. Step 5: Solve for x
    x = 44,713,345,675.50/327,638.36
  6. Step 6: Final answer
    x = 136,471.65

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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.