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Finding the Fourth Proportional to 271,410.40, 407,115.60 and 166,434.40

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Solution

The fourth proportional to 271,410.40, 407,115.60 and 166,434.40 is: 249,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,410.40 : 407,115.60 = 166,434.40 : x
  2. Step 2: Convert to fraction form
    271,410.40/407,115.60 = 166,434.40/x
  3. Step 3: Cross multiply
    271,410.40x = 407,115.60 × 166,434.40
  4. Step 4: Simplify right side
    271,410.40x = 67,758,040,616.64
  5. Step 5: Solve for x
    x = 67,758,040,616.64/271,410.40
  6. Step 6: Final answer
    x = 249,651.60

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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.