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Finding the Fourth Proportional to 329,683.84, 494,617.92 and 108,223.36

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Solution

The fourth proportional to 329,683.84, 494,617.92 and 108,223.36 is: 162,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,683.84 : 494,617.92 = 108,223.36 : x
  2. Step 2: Convert to fraction form
    329,683.84/494,617.92 = 108,223.36/x
  3. Step 3: Cross multiply
    329,683.84x = 494,617.92 × 108,223.36
  4. Step 4: Simplify right side
    329,683.84x = 53,529,213,218.61
  5. Step 5: Solve for x
    x = 53,529,213,218.61/329,683.84
  6. Step 6: Final answer
    x = 162,365.29

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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.