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Finding the Fourth Proportional to 271,274.36, 406,865.04 and 71,596.88

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Solution

The fourth proportional to 271,274.36, 406,865.04 and 71,596.88 is: 107,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,274.36 : 406,865.04 = 71,596.88 : x
  2. Step 2: Convert to fraction form
    271,274.36/406,865.04 = 71,596.88/x
  3. Step 3: Cross multiply
    271,274.36x = 406,865.04 × 71,596.88
  4. Step 4: Simplify right side
    271,274.36x = 29,130,267,445.08
  5. Step 5: Solve for x
    x = 29,130,267,445.08/271,274.36
  6. Step 6: Final answer
    x = 107,383.05

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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.