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Finding the Fourth Proportional to 463,239.63, 694,979.22 and 271,276.17

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Solution

The fourth proportional to 463,239.63, 694,979.22 and 271,276.17 is: 406,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,239.63 : 694,979.22 = 271,276.17 : x
  2. Step 2: Convert to fraction form
    463,239.63/694,979.22 = 271,276.17/x
  3. Step 3: Cross multiply
    463,239.63x = 694,979.22 × 271,276.17
  4. Step 4: Simplify right side
    463,239.63x = 188,531,301,031.19
  5. Step 5: Solve for x
    x = 188,531,301,031.19/463,239.63
  6. Step 6: Final answer
    x = 406,984.40

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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.