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Finding the Fourth Proportional to 443,933.87, 665,906.94 and 144,416.02

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Solution

The fourth proportional to 443,933.87, 665,906.94 and 144,416.02 is: 216,626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,933.87 : 665,906.94 = 144,416.02 : x
  2. Step 2: Convert to fraction form
    443,933.87/665,906.94 = 144,416.02/x
  3. Step 3: Cross multiply
    443,933.87x = 665,906.94 × 144,416.02
  4. Step 4: Simplify right side
    443,933.87x = 96,167,629,965.18
  5. Step 5: Solve for x
    x = 96,167,629,965.18/443,933.87
  6. Step 6: Final answer
    x = 216,626.03

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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.