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Finding the Fourth Proportional to 269,409.90, 404,114.85 and 164,433.90

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Solution

The fourth proportional to 269,409.90, 404,114.85 and 164,433.90 is: 246,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,409.90 : 404,114.85 = 164,433.90 : x
  2. Step 2: Convert to fraction form
    269,409.90/404,114.85 = 164,433.90/x
  3. Step 3: Cross multiply
    269,409.90x = 404,114.85 × 164,433.90
  4. Step 4: Simplify right side
    269,409.90x = 66,450,180,833.42
  5. Step 5: Solve for x
    x = 66,450,180,833.42/269,409.90
  6. Step 6: Final answer
    x = 246,650.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.