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Finding the Fourth Proportional to 397,194.57, 595,604.61 and 144,296.73

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Solution

The fourth proportional to 397,194.57, 595,604.61 and 144,296.73 is: 216,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,194.57 : 595,604.61 = 144,296.73 : x
  2. Step 2: Convert to fraction form
    397,194.57/595,604.61 = 144,296.73/x
  3. Step 3: Cross multiply
    397,194.57x = 595,604.61 × 144,296.73
  4. Step 4: Simplify right side
    397,194.57x = 85,943,797,595.93
  5. Step 5: Solve for x
    x = 85,943,797,595.93/397,194.57
  6. Step 6: Final answer
    x = 216,377.07

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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.