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Finding the Fourth Proportional to 329,699.85, 494,544.41 and 105,057.26

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Solution

The fourth proportional to 329,699.85, 494,544.41 and 105,057.26 is: 157,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,699.85 : 494,544.41 = 105,057.26 : x
  2. Step 2: Convert to fraction form
    329,699.85/494,544.41 = 105,057.26/x
  3. Step 3: Cross multiply
    329,699.85x = 494,544.41 × 105,057.26
  4. Step 4: Simplify right side
    329,699.85x = 51,955,477,664.91
  5. Step 5: Solve for x
    x = 51,955,477,664.91/329,699.85
  6. Step 6: Final answer
    x = 157,584.17

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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.