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Finding the Fourth Proportional to 329,706.67, 494,554.60 and 105,064.09

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Solution

The fourth proportional to 329,706.67, 494,554.60 and 105,064.09 is: 157,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,706.67 : 494,554.60 = 105,064.09 : x
  2. Step 2: Convert to fraction form
    329,706.67/494,554.60 = 105,064.09/x
  3. Step 3: Cross multiply
    329,706.67x = 494,554.60 × 105,064.09
  4. Step 4: Simplify right side
    329,706.67x = 51,959,929,004.31
  5. Step 5: Solve for x
    x = 51,959,929,004.31/329,706.67
  6. Step 6: Final answer
    x = 157,594.41

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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.