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Finding the Fourth Proportional to 269,579.76, 404,474.40 and 111,768

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Solution

The fourth proportional to 269,579.76, 404,474.40 and 111,768 is: 167,695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,579.76 : 404,474.40 = 111,768 : x
  2. Step 2: Convert to fraction form
    269,579.76/404,474.40 = 111,768/x
  3. Step 3: Cross multiply
    269,579.76x = 404,474.40 × 111,768
  4. Step 4: Simplify right side
    269,579.76x = 45,207,294,739.20
  5. Step 5: Solve for x
    x = 45,207,294,739.20/269,579.76
  6. Step 6: Final answer
    x = 167,695.43

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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.