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Finding the Fourth Proportional to 329,391.82, 493,706.22 and 151,525.54

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Solution

The fourth proportional to 329,391.82, 493,706.22 and 151,525.54 is: 227,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,391.82 : 493,706.22 = 151,525.54 : x
  2. Step 2: Convert to fraction form
    329,391.82/493,706.22 = 151,525.54/x
  3. Step 3: Cross multiply
    329,391.82x = 493,706.22 × 151,525.54
  4. Step 4: Simplify right side
    329,391.82x = 74,809,101,586.86
  5. Step 5: Solve for x
    x = 74,809,101,586.86/329,391.82
  6. Step 6: Final answer
    x = 227,112.81

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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.