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Finding the Fourth Proportional to 333,946.66, 460,893.64 and 206,663.26

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Solution

The fourth proportional to 333,946.66, 460,893.64 and 206,663.26 is: 285,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,946.66 : 460,893.64 = 206,663.26 : x
  2. Step 2: Convert to fraction form
    333,946.66/460,893.64 = 206,663.26/x
  3. Step 3: Cross multiply
    333,946.66x = 460,893.64 × 206,663.26
  4. Step 4: Simplify right side
    333,946.66x = 95,249,782,155.67
  5. Step 5: Solve for x
    x = 95,249,782,155.67/333,946.66
  6. Step 6: Final answer
    x = 285,224.54

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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.