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Finding the Fourth Proportional to 381,177.43, 526,041.44 and 228,186.12

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Solution

The fourth proportional to 381,177.43, 526,041.44 and 228,186.12 is: 314,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,177.43 : 526,041.44 = 228,186.12 : x
  2. Step 2: Convert to fraction form
    381,177.43/526,041.44 = 228,186.12/x
  3. Step 3: Cross multiply
    381,177.43x = 526,041.44 × 228,186.12
  4. Step 4: Simplify right side
    381,177.43x = 120,035,355,164.80
  5. Step 5: Solve for x
    x = 120,035,355,164.80/381,177.43
  6. Step 6: Final answer
    x = 314,906.78

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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.