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Finding the Fourth Proportional to 381,384.82, 526,323 and 211,634.74

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Solution

The fourth proportional to 381,384.82, 526,323 and 211,634.74 is: 292,062.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,384.82 : 526,323 = 211,634.74 : x
  2. Step 2: Convert to fraction form
    381,384.82/526,323 = 211,634.74/x
  3. Step 3: Cross multiply
    381,384.82x = 526,323 × 211,634.74
  4. Step 4: Simplify right side
    381,384.82x = 111,388,231,261.02
  5. Step 5: Solve for x
    x = 111,388,231,261.02/381,384.82
  6. Step 6: Final answer
    x = 292,062.57

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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.