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Finding the Fourth Proportional to 269,456.16, 404,466 and 111,778.24

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Solution

The fourth proportional to 269,456.16, 404,466 and 111,778.24 is: 167,784.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,456.16 : 404,466 = 111,778.24 : x
  2. Step 2: Convert to fraction form
    269,456.16/404,466 = 111,778.24/x
  3. Step 3: Cross multiply
    269,456.16x = 404,466 × 111,778.24
  4. Step 4: Simplify right side
    269,456.16x = 45,210,497,619.84
  5. Step 5: Solve for x
    x = 45,210,497,619.84/269,456.16
  6. Step 6: Final answer
    x = 167,784.24

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