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Finding the Fourth Proportional to 329,265.42, 494,573.13 and 217,107.42

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Solution

The fourth proportional to 329,265.42, 494,573.13 and 217,107.42 is: 326,106.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,265.42 : 494,573.13 = 217,107.42 : x
  2. Step 2: Convert to fraction form
    329,265.42/494,573.13 = 217,107.42/x
  3. Step 3: Cross multiply
    329,265.42x = 494,573.13 × 217,107.42
  4. Step 4: Simplify right side
    329,265.42x = 107,375,496,255.63
  5. Step 5: Solve for x
    x = 107,375,496,255.63/329,265.42
  6. Step 6: Final answer
    x = 326,106.20

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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.