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Finding the Fourth Proportional to 597,955.92, 825,185.61 and 326,021.61

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Solution

The fourth proportional to 597,955.92, 825,185.61 and 326,021.61 is: 449,913.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,955.92 : 825,185.61 = 326,021.61 : x
  2. Step 2: Convert to fraction form
    597,955.92/825,185.61 = 326,021.61/x
  3. Step 3: Cross multiply
    597,955.92x = 825,185.61 × 326,021.61
  4. Step 4: Simplify right side
    597,955.92x = 269,028,341,121.03
  5. Step 5: Solve for x
    x = 269,028,341,121.03/597,955.92
  6. Step 6: Final answer
    x = 449,913.33

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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.