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Finding the Fourth Proportional to 329,693.31, 494,512.61 and 105,044.67

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Solution

The fourth proportional to 329,693.31, 494,512.61 and 105,044.67 is: 157,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,693.31 : 494,512.61 = 105,044.67 : x
  2. Step 2: Convert to fraction form
    329,693.31/494,512.61 = 105,044.67/x
  3. Step 3: Cross multiply
    329,693.31x = 494,512.61 × 105,044.67
  4. Step 4: Simplify right side
    329,693.31x = 51,945,913,403.07
  5. Step 5: Solve for x
    x = 51,945,913,403.07/329,693.31
  6. Step 6: Final answer
    x = 157,558.29

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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.