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Finding the Fourth Proportional to 271,965.60, 407,559.60 and 200,329.20

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Solution

The fourth proportional to 271,965.60, 407,559.60 and 200,329.20 is: 300,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,965.60 : 407,559.60 = 200,329.20 : x
  2. Step 2: Convert to fraction form
    271,965.60/407,559.60 = 200,329.20/x
  3. Step 3: Cross multiply
    271,965.60x = 407,559.60 × 200,329.20
  4. Step 4: Simplify right side
    271,965.60x = 81,646,088,620.32
  5. Step 5: Solve for x
    x = 81,646,088,620.32/271,965.60
  6. Step 6: Final answer
    x = 300,207.41

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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.