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Finding the Fourth Proportional to 262,814.30, 394,221.45 and 210,326.30

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Solution

The fourth proportional to 262,814.30, 394,221.45 and 210,326.30 is: 315,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,814.30 : 394,221.45 = 210,326.30 : x
  2. Step 2: Convert to fraction form
    262,814.30/394,221.45 = 210,326.30/x
  3. Step 3: Cross multiply
    262,814.30x = 394,221.45 × 210,326.30
  4. Step 4: Simplify right side
    262,814.30x = 82,915,138,959.14
  5. Step 5: Solve for x
    x = 82,915,138,959.14/262,814.30
  6. Step 6: Final answer
    x = 315,489.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.