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Finding the Fourth Proportional to 327,162.68, 490,767.36 and 87,275.24

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Solution

The fourth proportional to 327,162.68, 490,767.36 and 87,275.24 is: 130,919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,162.68 : 490,767.36 = 87,275.24 : x
  2. Step 2: Convert to fraction form
    327,162.68/490,767.36 = 87,275.24/x
  3. Step 3: Cross multiply
    327,162.68x = 490,767.36 × 87,275.24
  4. Step 4: Simplify right side
    327,162.68x = 42,831,839,128.17
  5. Step 5: Solve for x
    x = 42,831,839,128.17/327,162.68
  6. Step 6: Final answer
    x = 130,919.09

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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.