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Finding the Fourth Proportional to 329,704.68, 494,217.74 and 149,915.16

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Solution

The fourth proportional to 329,704.68, 494,217.74 and 149,915.16 is: 224,718.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,704.68 : 494,217.74 = 149,915.16 : x
  2. Step 2: Convert to fraction form
    329,704.68/494,217.74 = 149,915.16/x
  3. Step 3: Cross multiply
    329,704.68x = 494,217.74 × 149,915.16
  4. Step 4: Simplify right side
    329,704.68x = 74,090,731,566.94
  5. Step 5: Solve for x
    x = 74,090,731,566.94/329,704.68
  6. Step 6: Final answer
    x = 224,718.47

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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.