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Finding the Fourth Proportional to 329,671.65, 494,343.38 and 105,002.97

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Solution

The fourth proportional to 329,671.65, 494,343.38 and 105,002.97 is: 157,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,671.65 : 494,343.38 = 105,002.97 : x
  2. Step 2: Convert to fraction form
    329,671.65/494,343.38 = 105,002.97/x
  3. Step 3: Cross multiply
    329,671.65x = 494,343.38 × 105,002.97
  4. Step 4: Simplify right side
    329,671.65x = 51,907,522,574.82
  5. Step 5: Solve for x
    x = 51,907,522,574.82/329,671.65
  6. Step 6: Final answer
    x = 157,452.19

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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.