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Finding the Fourth Proportional to 454,498.56, 627,229.44 and 253,296

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Solution

The fourth proportional to 454,498.56, 627,229.44 and 253,296 is: 349,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,498.56 : 627,229.44 = 253,296 : x
  2. Step 2: Convert to fraction form
    454,498.56/627,229.44 = 253,296/x
  3. Step 3: Cross multiply
    454,498.56x = 627,229.44 × 253,296
  4. Step 4: Simplify right side
    454,498.56x = 158,874,708,234.24
  5. Step 5: Solve for x
    x = 158,874,708,234.24/454,498.56
  6. Step 6: Final answer
    x = 349,560.42

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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.