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Finding the Fourth Proportional to 397,006.74, 595,447.56 and 329,969.16

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Solution

The fourth proportional to 397,006.74, 595,447.56 and 329,969.16 is: 494,901.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,006.74 : 595,447.56 = 329,969.16 : x
  2. Step 2: Convert to fraction form
    397,006.74/595,447.56 = 329,969.16/x
  3. Step 3: Cross multiply
    397,006.74x = 595,447.56 × 329,969.16
  4. Step 4: Simplify right side
    397,006.74x = 196,479,331,197.25
  5. Step 5: Solve for x
    x = 196,479,331,197.25/397,006.74
  6. Step 6: Final answer
    x = 494,901.75

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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.