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Finding the Fourth Proportional to 333,800, 460,654.80 and 182,906.72

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Solution

The fourth proportional to 333,800, 460,654.80 and 182,906.72 is: 252,417.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,800 : 460,654.80 = 182,906.72 : x
  2. Step 2: Convert to fraction form
    333,800/460,654.80 = 182,906.72/x
  3. Step 3: Cross multiply
    333,800x = 460,654.80 × 182,906.72
  4. Step 4: Simplify right side
    333,800x = 84,256,858,520.26
  5. Step 5: Solve for x
    x = 84,256,858,520.26/333,800
  6. Step 6: Final answer
    x = 252,417.19

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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.