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Finding the Fourth Proportional to 601,079.30, 829,489.42 and 329,163.82

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Solution

The fourth proportional to 601,079.30, 829,489.42 and 329,163.82 is: 454,246.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,079.30 : 829,489.42 = 329,163.82 : x
  2. Step 2: Convert to fraction form
    601,079.30/829,489.42 = 329,163.82/x
  3. Step 3: Cross multiply
    601,079.30x = 829,489.42 × 329,163.82
  4. Step 4: Simplify right side
    601,079.30x = 273,037,906,136.78
  5. Step 5: Solve for x
    x = 273,037,906,136.78/601,079.30
  6. Step 6: Final answer
    x = 454,246.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.