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Finding the Fourth Proportional to 298,635.40, 447,953.10 and 275,825.80

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Solution

The fourth proportional to 298,635.40, 447,953.10 and 275,825.80 is: 413,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,635.40 : 447,953.10 = 275,825.80 : x
  2. Step 2: Convert to fraction form
    298,635.40/447,953.10 = 275,825.80/x
  3. Step 3: Cross multiply
    298,635.40x = 447,953.10 × 275,825.80
  4. Step 4: Simplify right side
    298,635.40x = 123,557,022,169.98
  5. Step 5: Solve for x
    x = 123,557,022,169.98/298,635.40
  6. Step 6: Final answer
    x = 413,738.70

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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.