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Finding the Fourth Proportional to 329,704.22, 494,639.49 and 152,336.63

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Solution

The fourth proportional to 329,704.22, 494,639.49 and 152,336.63 is: 228,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,704.22 : 494,639.49 = 152,336.63 : x
  2. Step 2: Convert to fraction form
    329,704.22/494,639.49 = 152,336.63/x
  3. Step 3: Cross multiply
    329,704.22x = 494,639.49 × 152,336.63
  4. Step 4: Simplify right side
    329,704.22x = 75,351,712,971.52
  5. Step 5: Solve for x
    x = 75,351,712,971.52/329,704.22
  6. Step 6: Final answer
    x = 228,543.37

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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.