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Finding the Fourth Proportional to 331,890, 458,042.76 and 204,562.32

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Solution

The fourth proportional to 331,890, 458,042.76 and 204,562.32 is: 282,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,890 : 458,042.76 = 204,562.32 : x
  2. Step 2: Convert to fraction form
    331,890/458,042.76 = 204,562.32/x
  3. Step 3: Cross multiply
    331,890x = 458,042.76 × 204,562.32
  4. Step 4: Simplify right side
    331,890x = 93,698,289,644.80
  5. Step 5: Solve for x
    x = 93,698,289,644.80/331,890
  6. Step 6: Final answer
    x = 282,317.30

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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.