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Finding the Fourth Proportional to 271,301.60, 406,946.23 and 71,636.00

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Solution

The fourth proportional to 271,301.60, 406,946.23 and 71,636.00 is: 107,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,301.60 : 406,946.23 = 71,636.00 : x
  2. Step 2: Convert to fraction form
    271,301.60/406,946.23 = 71,636.00/x
  3. Step 3: Cross multiply
    271,301.60x = 406,946.23 × 71,636.00
  4. Step 4: Simplify right side
    271,301.60x = 29,151,997,918.46
  5. Step 5: Solve for x
    x = 29,151,997,918.46/271,301.60
  6. Step 6: Final answer
    x = 107,452.36

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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.