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Finding the Fourth Proportional to 329,797.74, 494,732.25 and 105,105.36

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Solution

The fourth proportional to 329,797.74, 494,732.25 and 105,105.36 is: 157,669.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,797.74 : 494,732.25 = 105,105.36 : x
  2. Step 2: Convert to fraction form
    329,797.74/494,732.25 = 105,105.36/x
  3. Step 3: Cross multiply
    329,797.74x = 494,732.25 × 105,105.36
  4. Step 4: Simplify right side
    329,797.74x = 51,999,011,239.86
  5. Step 5: Solve for x
    x = 51,999,011,239.86/329,797.74
  6. Step 6: Final answer
    x = 157,669.40

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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.