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Finding the Fourth Proportional to 397,265.30, 594,913.80 and 254,891.60

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Solution

The fourth proportional to 397,265.30, 594,913.80 and 254,891.60 is: 381,705.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,265.30 : 594,913.80 = 254,891.60 : x
  2. Step 2: Convert to fraction form
    397,265.30/594,913.80 = 254,891.60/x
  3. Step 3: Cross multiply
    397,265.30x = 594,913.80 × 254,891.60
  4. Step 4: Simplify right side
    397,265.30x = 151,638,530,344.08
  5. Step 5: Solve for x
    x = 151,638,530,344.08/397,265.30
  6. Step 6: Final answer
    x = 381,705.95

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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.