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Finding the Fourth Proportional to 329,950.59, 494,919.81 and 105,309.24

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Solution

The fourth proportional to 329,950.59, 494,919.81 and 105,309.24 is: 157,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,950.59 : 494,919.81 = 105,309.24 : x
  2. Step 2: Convert to fraction form
    329,950.59/494,919.81 = 105,309.24/x
  3. Step 3: Cross multiply
    329,950.59x = 494,919.81 × 105,309.24
  4. Step 4: Simplify right side
    329,950.59x = 52,119,629,052.04
  5. Step 5: Solve for x
    x = 52,119,629,052.04/329,950.59
  6. Step 6: Final answer
    x = 157,961.92

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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.