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Finding the Fourth Proportional to 329,699.67, 494,544.12 and 105,057.06

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Solution

The fourth proportional to 329,699.67, 494,544.12 and 105,057.06 is: 157,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,699.67 : 494,544.12 = 105,057.06 : x
  2. Step 2: Convert to fraction form
    329,699.67/494,544.12 = 105,057.06/x
  3. Step 3: Cross multiply
    329,699.67x = 494,544.12 × 105,057.06
  4. Step 4: Simplify right side
    329,699.67x = 51,955,351,287.49
  5. Step 5: Solve for x
    x = 51,955,351,287.49/329,699.67
  6. Step 6: Final answer
    x = 157,583.87

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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.