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Finding the Fourth Proportional to 271,043.40, 406,565.10 and 201,059.40

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Solution

The fourth proportional to 271,043.40, 406,565.10 and 201,059.40 is: 301,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,043.40 : 406,565.10 = 201,059.40 : x
  2. Step 2: Convert to fraction form
    271,043.40/406,565.10 = 201,059.40/x
  3. Step 3: Cross multiply
    271,043.40x = 406,565.10 × 201,059.40
  4. Step 4: Simplify right side
    271,043.40x = 81,743,735,066.94
  5. Step 5: Solve for x
    x = 81,743,735,066.94/271,043.40
  6. Step 6: Final answer
    x = 301,589.10

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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.