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Finding the Fourth Proportional to 327,114.10, 490,682.04 and 90,458.74

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Solution

The fourth proportional to 327,114.10, 490,682.04 and 90,458.74 is: 135,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,114.10 : 490,682.04 = 90,458.74 : x
  2. Step 2: Convert to fraction form
    327,114.10/490,682.04 = 90,458.74/x
  3. Step 3: Cross multiply
    327,114.10x = 490,682.04 × 90,458.74
  4. Step 4: Simplify right side
    327,114.10x = 44,386,479,079.03
  5. Step 5: Solve for x
    x = 44,386,479,079.03/327,114.10
  6. Step 6: Final answer
    x = 135,691.12

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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.