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Finding the Fourth Proportional to 329,438.55, 494,157.83 and 196,468.95

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Solution

The fourth proportional to 329,438.55, 494,157.83 and 196,468.95 is: 294,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,438.55 : 494,157.83 = 196,468.95 : x
  2. Step 2: Convert to fraction form
    329,438.55/494,157.83 = 196,468.95/x
  3. Step 3: Cross multiply
    329,438.55x = 494,157.83 × 196,468.95
  4. Step 4: Simplify right side
    329,438.55x = 97,086,669,012.03
  5. Step 5: Solve for x
    x = 97,086,669,012.03/329,438.55
  6. Step 6: Final answer
    x = 294,703.43

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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.