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Finding the Fourth Proportional to 541,515.44, 813,018.56 and 275,456

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Solution

The fourth proportional to 541,515.44, 813,018.56 and 275,456 is: 413,563.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,515.44 : 813,018.56 = 275,456 : x
  2. Step 2: Convert to fraction form
    541,515.44/813,018.56 = 275,456/x
  3. Step 3: Cross multiply
    541,515.44x = 813,018.56 × 275,456
  4. Step 4: Simplify right side
    541,515.44x = 223,950,840,463.36
  5. Step 5: Solve for x
    x = 223,950,840,463.36/541,515.44
  6. Step 6: Final answer
    x = 413,563.17

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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.