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Finding the Fourth Proportional to 329,686.67, 494,524.60 and 105,044.05

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Solution

The fourth proportional to 329,686.67, 494,524.60 and 105,044.05 is: 157,564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,686.67 : 494,524.60 = 105,044.05 : x
  2. Step 2: Convert to fraction form
    329,686.67/494,524.60 = 105,044.05/x
  3. Step 3: Cross multiply
    329,686.67x = 494,524.60 × 105,044.05
  4. Step 4: Simplify right side
    329,686.67x = 51,946,867,735.86
  5. Step 5: Solve for x
    x = 51,946,867,735.86/329,686.67
  6. Step 6: Final answer
    x = 157,564.36

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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.