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Finding the Fourth Proportional to 381,468.88, 526,373.22 and 228,471.22

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Solution

The fourth proportional to 381,468.88, 526,373.22 and 228,471.22 is: 315,258.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,468.88 : 526,373.22 = 228,471.22 : x
  2. Step 2: Convert to fraction form
    381,468.88/526,373.22 = 228,471.22/x
  3. Step 3: Cross multiply
    381,468.88x = 526,373.22 × 228,471.22
  4. Step 4: Simplify right side
    381,468.88x = 120,261,131,748.73
  5. Step 5: Solve for x
    x = 120,261,131,748.73/381,468.88
  6. Step 6: Final answer
    x = 315,258.04

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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.