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Finding the Fourth Proportional to 296,238.36, 408,383.66 and 211,207.80

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Solution

The fourth proportional to 296,238.36, 408,383.66 and 211,207.80 is: 291,163.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,238.36 : 408,383.66 = 211,207.80 : x
  2. Step 2: Convert to fraction form
    296,238.36/408,383.66 = 211,207.80/x
  3. Step 3: Cross multiply
    296,238.36x = 408,383.66 × 211,207.80
  4. Step 4: Simplify right side
    296,238.36x = 86,253,814,384.55
  5. Step 5: Solve for x
    x = 86,253,814,384.55/296,238.36
  6. Step 6: Final answer
    x = 291,163.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.