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Finding the Fourth Proportional to 381,467.88, 526,371.84 and 228,470.22

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Solution

The fourth proportional to 381,467.88, 526,371.84 and 228,470.22 is: 315,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,467.88 : 526,371.84 = 228,470.22 : x
  2. Step 2: Convert to fraction form
    381,467.88/526,371.84 = 228,470.22/x
  3. Step 3: Cross multiply
    381,467.88x = 526,371.84 × 228,470.22
  4. Step 4: Simplify right side
    381,467.88x = 120,260,290,086.61
  5. Step 5: Solve for x
    x = 120,260,290,086.61/381,467.88
  6. Step 6: Final answer
    x = 315,256.66

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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.