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Finding the Fourth Proportional to 271,205.10, 406,406.70 and 196,482.60

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Solution

The fourth proportional to 271,205.10, 406,406.70 and 196,482.60 is: 294,433.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,205.10 : 406,406.70 = 196,482.60 : x
  2. Step 2: Convert to fraction form
    271,205.10/406,406.70 = 196,482.60/x
  3. Step 3: Cross multiply
    271,205.10x = 406,406.70 × 196,482.60
  4. Step 4: Simplify right side
    271,205.10x = 79,851,845,073.42
  5. Step 5: Solve for x
    x = 79,851,845,073.42/271,205.10
  6. Step 6: Final answer
    x = 294,433.42

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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.