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Finding the Fourth Proportional to 329,642.01, 494,459.24 and 80,324.01

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Solution

The fourth proportional to 329,642.01, 494,459.24 and 80,324.01 is: 120,485.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,642.01 : 494,459.24 = 80,324.01 : x
  2. Step 2: Convert to fraction form
    329,642.01/494,459.24 = 80,324.01/x
  3. Step 3: Cross multiply
    329,642.01x = 494,459.24 × 80,324.01
  4. Step 4: Simplify right side
    329,642.01x = 39,716,948,536.73
  5. Step 5: Solve for x
    x = 39,716,948,536.73/329,642.01
  6. Step 6: Final answer
    x = 120,485.09

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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.