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Finding the Fourth Proportional to 271,206.60, 406,421.10 and 199,570.20

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Solution

The fourth proportional to 271,206.60, 406,421.10 and 199,570.20 is: 299,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,206.60 : 406,421.10 = 199,570.20 : x
  2. Step 2: Convert to fraction form
    271,206.60/406,421.10 = 199,570.20/x
  3. Step 3: Cross multiply
    271,206.60x = 406,421.10 × 199,570.20
  4. Step 4: Simplify right side
    271,206.60x = 81,109,540,211.22
  5. Step 5: Solve for x
    x = 81,109,540,211.22/271,206.60
  6. Step 6: Final answer
    x = 299,069.20

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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.