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Finding the Fourth Proportional to 271,866.40, 407,799.60 and 201,882.40

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Solution

The fourth proportional to 271,866.40, 407,799.60 and 201,882.40 is: 302,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,866.40 : 407,799.60 = 201,882.40 : x
  2. Step 2: Convert to fraction form
    271,866.40/407,799.60 = 201,882.40/x
  3. Step 3: Cross multiply
    271,866.40x = 407,799.60 × 201,882.40
  4. Step 4: Simplify right side
    271,866.40x = 82,327,561,967.04
  5. Step 5: Solve for x
    x = 82,327,561,967.04/271,866.40
  6. Step 6: Final answer
    x = 302,823.60

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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.