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Finding the Fourth Proportional to 333,942.66, 460,888.11 and 206,659.26

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Solution

The fourth proportional to 333,942.66, 460,888.11 and 206,659.26 is: 285,219.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,942.66 : 460,888.11 = 206,659.26 : x
  2. Step 2: Convert to fraction form
    333,942.66/460,888.11 = 206,659.26/x
  3. Step 3: Cross multiply
    333,942.66x = 460,888.11 × 206,659.26
  4. Step 4: Simplify right side
    333,942.66x = 95,246,795,755.40
  5. Step 5: Solve for x
    x = 95,246,795,755.40/333,942.66
  6. Step 6: Final answer
    x = 285,219.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.