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Finding the Fourth Proportional to 269,542.35, 404,313.53 and 164,566.35

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Solution

The fourth proportional to 269,542.35, 404,313.53 and 164,566.35 is: 246,849.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,542.35 : 404,313.53 = 164,566.35 : x
  2. Step 2: Convert to fraction form
    269,542.35/404,313.53 = 164,566.35/x
  3. Step 3: Cross multiply
    269,542.35x = 404,313.53 × 164,566.35
  4. Step 4: Simplify right side
    269,542.35x = 66,536,401,064.88
  5. Step 5: Solve for x
    x = 66,536,401,064.88/269,542.35
  6. Step 6: Final answer
    x = 246,849.53

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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.