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Finding the Fourth Proportional to 597,901.50, 825,104.07 and 329,629.50

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Solution

The fourth proportional to 597,901.50, 825,104.07 and 329,629.50 is: 454,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,901.50 : 825,104.07 = 329,629.50 : x
  2. Step 2: Convert to fraction form
    597,901.50/825,104.07 = 329,629.50/x
  3. Step 3: Cross multiply
    597,901.50x = 825,104.07 × 329,629.50
  4. Step 4: Simplify right side
    597,901.50x = 271,978,642,042.07
  5. Step 5: Solve for x
    x = 271,978,642,042.07/597,901.50
  6. Step 6: Final answer
    x = 454,888.71

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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.