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Finding the Fourth Proportional to 329,101.20, 493,651.80 and 303,181.20

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Solution

The fourth proportional to 329,101.20, 493,651.80 and 303,181.20 is: 454,771.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,101.20 : 493,651.80 = 303,181.20 : x
  2. Step 2: Convert to fraction form
    329,101.20/493,651.80 = 303,181.20/x
  3. Step 3: Cross multiply
    329,101.20x = 493,651.80 × 303,181.20
  4. Step 4: Simplify right side
    329,101.20x = 149,665,945,106.16
  5. Step 5: Solve for x
    x = 149,665,945,106.16/329,101.20
  6. Step 6: Final answer
    x = 454,771.80

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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.