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Finding the Fourth Proportional to 329,825.80, 494,811.26 and 187,738.00

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Solution

The fourth proportional to 329,825.80, 494,811.26 and 187,738.00 is: 281,648.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,825.80 : 494,811.26 = 187,738.00 : x
  2. Step 2: Convert to fraction form
    329,825.80/494,811.26 = 187,738.00/x
  3. Step 3: Cross multiply
    329,825.80x = 494,811.26 × 187,738.00
  4. Step 4: Simplify right side
    329,825.80x = 92,894,877,113.48
  5. Step 5: Solve for x
    x = 92,894,877,113.48/329,825.80
  6. Step 6: Final answer
    x = 281,648.31

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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.