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Finding the Fourth Proportional to 333,943.66, 460,889.49 and 206,660.26

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Solution

The fourth proportional to 333,943.66, 460,889.49 and 206,660.26 is: 285,220.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,943.66 : 460,889.49 = 206,660.26 : x
  2. Step 2: Convert to fraction form
    333,943.66/460,889.49 = 206,660.26/x
  3. Step 3: Cross multiply
    333,943.66x = 460,889.49 × 206,660.26
  4. Step 4: Simplify right side
    333,943.66x = 95,247,541,834.67
  5. Step 5: Solve for x
    x = 95,247,541,834.67/333,943.66
  6. Step 6: Final answer
    x = 285,220.39

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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.