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Finding the Fourth Proportional to 381,297.43, 526,191.06 and 211,531.51

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Solution

The fourth proportional to 381,297.43, 526,191.06 and 211,531.51 is: 291,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,297.43 : 526,191.06 = 211,531.51 : x
  2. Step 2: Convert to fraction form
    381,297.43/526,191.06 = 211,531.51/x
  3. Step 3: Cross multiply
    381,297.43x = 526,191.06 × 211,531.51
  4. Step 4: Simplify right side
    381,297.43x = 111,305,989,470.30
  5. Step 5: Solve for x
    x = 111,305,989,470.30/381,297.43
  6. Step 6: Final answer
    x = 291,913.82

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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.