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Finding the Fourth Proportional to 541,031.63, 811,020.04 and 225,578.75

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Solution

The fourth proportional to 541,031.63, 811,020.04 and 225,578.75 is: 338,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,031.63 : 811,020.04 = 225,578.75 : x
  2. Step 2: Convert to fraction form
    541,031.63/811,020.04 = 225,578.75/x
  3. Step 3: Cross multiply
    541,031.63x = 811,020.04 × 225,578.75
  4. Step 4: Simplify right side
    541,031.63x = 182,948,882,229.10
  5. Step 5: Solve for x
    x = 182,948,882,229.10/541,031.63
  6. Step 6: Final answer
    x = 338,148.22

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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.