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Finding the Fourth Proportional to 332,380.96, 458,905.68 and 205,243.36

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Solution

The fourth proportional to 332,380.96, 458,905.68 and 205,243.36 is: 283,371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,380.96 : 458,905.68 = 205,243.36 : x
  2. Step 2: Convert to fraction form
    332,380.96/458,905.68 = 205,243.36/x
  3. Step 3: Cross multiply
    332,380.96x = 458,905.68 × 205,243.36
  4. Step 4: Simplify right side
    332,380.96x = 94,187,343,686.28
  5. Step 5: Solve for x
    x = 94,187,343,686.28/332,380.96
  6. Step 6: Final answer
    x = 283,371.66

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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.