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Finding the Fourth Proportional to 381,952.22, 526,860.50 and 226,798.34

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Solution

The fourth proportional to 381,952.22, 526,860.50 and 226,798.34 is: 312,843.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,952.22 : 526,860.50 = 226,798.34 : x
  2. Step 2: Convert to fraction form
    381,952.22/526,860.50 = 226,798.34/x
  3. Step 3: Cross multiply
    381,952.22x = 526,860.50 × 226,798.34
  4. Step 4: Simplify right side
    381,952.22x = 119,491,083,043.28
  5. Step 5: Solve for x
    x = 119,491,083,043.28/381,952.22
  6. Step 6: Final answer
    x = 312,843.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.