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Finding the Fourth Proportional to 294,024.18, 405,745.44 and 164,951.80

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Solution

The fourth proportional to 294,024.18, 405,745.44 and 164,951.80 is: 227,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,024.18 : 405,745.44 = 164,951.80 : x
  2. Step 2: Convert to fraction form
    294,024.18/405,745.44 = 164,951.80/x
  3. Step 3: Cross multiply
    294,024.18x = 405,745.44 × 164,951.80
  4. Step 4: Simplify right side
    294,024.18x = 66,928,440,669.79
  5. Step 5: Solve for x
    x = 66,928,440,669.79/294,024.18
  6. Step 6: Final answer
    x = 227,629.04

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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.