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Finding the Fourth Proportional to 541,895.44, 813,347.56 and 275,855.08

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Solution

The fourth proportional to 541,895.44, 813,347.56 and 275,855.08 is: 414,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,895.44 : 813,347.56 = 275,855.08 : x
  2. Step 2: Convert to fraction form
    541,895.44/813,347.56 = 275,855.08/x
  3. Step 3: Cross multiply
    541,895.44x = 813,347.56 × 275,855.08
  4. Step 4: Simplify right side
    541,895.44x = 224,366,056,231.61
  5. Step 5: Solve for x
    x = 224,366,056,231.61/541,895.44
  6. Step 6: Final answer
    x = 414,039.39

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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.