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Finding the Fourth Proportional to 321,257.96, 442,622.28 and 212,168.56

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Solution

The fourth proportional to 321,257.96, 442,622.28 and 212,168.56 is: 292,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,257.96 : 442,622.28 = 212,168.56 : x
  2. Step 2: Convert to fraction form
    321,257.96/442,622.28 = 212,168.56/x
  3. Step 3: Cross multiply
    321,257.96x = 442,622.28 × 212,168.56
  4. Step 4: Simplify right side
    321,257.96x = 93,910,531,771.52
  5. Step 5: Solve for x
    x = 93,910,531,771.52/321,257.96
  6. Step 6: Final answer
    x = 292,321.26

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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.