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Finding the Fourth Proportional to 329,431.80, 494,157.30 and 119,032.44

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Solution

The fourth proportional to 329,431.80, 494,157.30 and 119,032.44 is: 178,552.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,431.80 : 494,157.30 = 119,032.44 : x
  2. Step 2: Convert to fraction form
    329,431.80/494,157.30 = 119,032.44/x
  3. Step 3: Cross multiply
    329,431.80x = 494,157.30 × 119,032.44
  4. Step 4: Simplify right side
    329,431.80x = 58,820,749,162.81
  5. Step 5: Solve for x
    x = 58,820,749,162.81/329,431.80
  6. Step 6: Final answer
    x = 178,552.13

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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.