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Finding the Fourth Proportional to 329,532.60, 494,270.10 and 107,916.60

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Solution

The fourth proportional to 329,532.60, 494,270.10 and 107,916.60 is: 161,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,532.60 : 494,270.10 = 107,916.60 : x
  2. Step 2: Convert to fraction form
    329,532.60/494,270.10 = 107,916.60/x
  3. Step 3: Cross multiply
    329,532.60x = 494,270.10 × 107,916.60
  4. Step 4: Simplify right side
    329,532.60x = 53,339,948,673.66
  5. Step 5: Solve for x
    x = 53,339,948,673.66/329,532.60
  6. Step 6: Final answer
    x = 161,865.47

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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.