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Finding the Fourth Proportional to 541,179.88, 811,638.60 and 225,464.56

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Solution

The fourth proportional to 541,179.88, 811,638.60 and 225,464.56 is: 338,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,179.88 : 811,638.60 = 225,464.56 : x
  2. Step 2: Convert to fraction form
    541,179.88/811,638.60 = 225,464.56/x
  3. Step 3: Cross multiply
    541,179.88x = 811,638.60 × 225,464.56
  4. Step 4: Simplify right side
    541,179.88x = 182,995,739,828.02
  5. Step 5: Solve for x
    x = 182,995,739,828.02/541,179.88
  6. Step 6: Final answer
    x = 338,142.17

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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.