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Finding the Fourth Proportional to 329,745.84, 494,684.40 and 105,099

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Solution

The fourth proportional to 329,745.84, 494,684.40 and 105,099 is: 157,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,745.84 : 494,684.40 = 105,099 : x
  2. Step 2: Convert to fraction form
    329,745.84/494,684.40 = 105,099/x
  3. Step 3: Cross multiply
    329,745.84x = 494,684.40 × 105,099
  4. Step 4: Simplify right side
    329,745.84x = 51,990,835,755.60
  5. Step 5: Solve for x
    x = 51,990,835,755.60/329,745.84
  6. Step 6: Final answer
    x = 157,669.42

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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.