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Finding the Fourth Proportional to 329,676.82, 494,589.81 and 105,050.05

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Solution

The fourth proportional to 329,676.82, 494,589.81 and 105,050.05 is: 157,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,676.82 : 494,589.81 = 105,050.05 : x
  2. Step 2: Convert to fraction form
    329,676.82/494,589.81 = 105,050.05/x
  3. Step 3: Cross multiply
    329,676.82x = 494,589.81 × 105,050.05
  4. Step 4: Simplify right side
    329,676.82x = 51,956,683,427.45
  5. Step 5: Solve for x
    x = 51,956,683,427.45/329,676.82
  6. Step 6: Final answer
    x = 157,598.84

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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.