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Finding the Fourth Proportional to 271,412.76, 406,739.88 and 231,222.36

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Solution

The fourth proportional to 271,412.76, 406,739.88 and 231,222.36 is: 346,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,412.76 : 406,739.88 = 231,222.36 : x
  2. Step 2: Convert to fraction form
    271,412.76/406,739.88 = 231,222.36/x
  3. Step 3: Cross multiply
    271,412.76x = 406,739.88 × 231,222.36
  4. Step 4: Simplify right side
    271,412.76x = 94,047,354,959.72
  5. Step 5: Solve for x
    x = 94,047,354,959.72/271,412.76
  6. Step 6: Final answer
    x = 346,510.44

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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.