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Finding the Fourth Proportional to 271,202.60, 406,415.10 and 199,566.20

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Solution

The fourth proportional to 271,202.60, 406,415.10 and 199,566.20 is: 299,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,202.60 : 406,415.10 = 199,566.20 : x
  2. Step 2: Convert to fraction form
    271,202.60/406,415.10 = 199,566.20/x
  3. Step 3: Cross multiply
    271,202.60x = 406,415.10 × 199,566.20
  4. Step 4: Simplify right side
    271,202.60x = 81,106,717,129.62
  5. Step 5: Solve for x
    x = 81,106,717,129.62/271,202.60
  6. Step 6: Final answer
    x = 299,063.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.