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Finding the Fourth Proportional to 381,235.68, 526,168.32 and 211,524.48

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Solution

The fourth proportional to 381,235.68, 526,168.32 and 211,524.48 is: 291,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,235.68 : 526,168.32 = 211,524.48 : x
  2. Step 2: Convert to fraction form
    381,235.68/526,168.32 = 211,524.48/x
  3. Step 3: Cross multiply
    381,235.68x = 526,168.32 × 211,524.48
  4. Step 4: Simplify right side
    381,235.68x = 111,297,480,280.47
  5. Step 5: Solve for x
    x = 111,297,480,280.47/381,235.68
  6. Step 6: Final answer
    x = 291,938.78

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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.