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Finding the Fourth Proportional to 541,179.63, 811,638.23 and 225,464.31

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Solution

The fourth proportional to 541,179.63, 811,638.23 and 225,464.31 is: 338,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,179.63 : 811,638.23 = 225,464.31 : x
  2. Step 2: Convert to fraction form
    541,179.63/811,638.23 = 225,464.31/x
  3. Step 3: Cross multiply
    541,179.63x = 811,638.23 × 225,464.31
  4. Step 4: Simplify right side
    541,179.63x = 182,995,452,369.25
  5. Step 5: Solve for x
    x = 182,995,452,369.25/541,179.63
  6. Step 6: Final answer
    x = 338,141.80

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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.