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Finding the Fourth Proportional to 597,843.88, 825,019.14 and 329,571.88

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Solution

The fourth proportional to 597,843.88, 825,019.14 and 329,571.88 is: 454,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,843.88 : 825,019.14 = 329,571.88 : x
  2. Step 2: Convert to fraction form
    597,843.88/825,019.14 = 329,571.88/x
  3. Step 3: Cross multiply
    597,843.88x = 825,019.14 × 329,571.88
  4. Step 4: Simplify right side
    597,843.88x = 271,903,109,005.78
  5. Step 5: Solve for x
    x = 271,903,109,005.78/597,843.88
  6. Step 6: Final answer
    x = 454,806.21

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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.