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Finding the Fourth Proportional to 541,031.04, 811,620.28 and 225,414

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Solution

The fourth proportional to 541,031.04, 811,620.28 and 225,414 is: 338,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,031.04 : 811,620.28 = 225,414 : x
  2. Step 2: Convert to fraction form
    541,031.04/811,620.28 = 225,414/x
  3. Step 3: Cross multiply
    541,031.04x = 811,620.28 × 225,414
  4. Step 4: Simplify right side
    541,031.04x = 182,950,573,795.92
  5. Step 5: Solve for x
    x = 182,950,573,795.92/541,031.04
  6. Step 6: Final answer
    x = 338,151.71

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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.