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Finding the Fourth Proportional to 271,869.60, 407,415.60 and 200,233.20

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Solution

The fourth proportional to 271,869.60, 407,415.60 and 200,233.20 is: 300,063.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,869.60 : 407,415.60 = 200,233.20 : x
  2. Step 2: Convert to fraction form
    271,869.60/407,415.60 = 200,233.20/x
  3. Step 3: Cross multiply
    271,869.60x = 407,415.60 × 200,233.20
  4. Step 4: Simplify right side
    271,869.60x = 81,578,129,317.92
  5. Step 5: Solve for x
    x = 81,578,129,317.92/271,869.60
  6. Step 6: Final answer
    x = 300,063.45

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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.