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Finding the Fourth Proportional to 329,695.44, 494,537.76 and 105,052.84

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Solution

The fourth proportional to 329,695.44, 494,537.76 and 105,052.84 is: 157,577.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,695.44 : 494,537.76 = 105,052.84 : x
  2. Step 2: Convert to fraction form
    329,695.44/494,537.76 = 105,052.84/x
  3. Step 3: Cross multiply
    329,695.44x = 494,537.76 × 105,052.84
  4. Step 4: Simplify right side
    329,695.44x = 51,952,595,234.36
  5. Step 5: Solve for x
    x = 51,952,595,234.36/329,695.44
  6. Step 6: Final answer
    x = 157,577.54

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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.