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Finding the Fourth Proportional to 381,367.41, 526,088.34 and 226,228.47

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Solution

The fourth proportional to 381,367.41, 526,088.34 and 226,228.47 is: 312,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,367.41 : 526,088.34 = 226,228.47 : x
  2. Step 2: Convert to fraction form
    381,367.41/526,088.34 = 226,228.47/x
  3. Step 3: Cross multiply
    381,367.41x = 526,088.34 × 226,228.47
  4. Step 4: Simplify right side
    381,367.41x = 119,016,158,954.50
  5. Step 5: Solve for x
    x = 119,016,158,954.50/381,367.41
  6. Step 6: Final answer
    x = 312,077.42

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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.