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Finding the Fourth Proportional to 270,661.44, 406,033.16 and 196,342.39

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Solution

The fourth proportional to 270,661.44, 406,033.16 and 196,342.39 is: 294,543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,661.44 : 406,033.16 = 196,342.39 : x
  2. Step 2: Convert to fraction form
    270,661.44/406,033.16 = 196,342.39/x
  3. Step 3: Cross multiply
    270,661.44x = 406,033.16 × 196,342.39
  4. Step 4: Simplify right side
    270,661.44x = 79,721,519,056.86
  5. Step 5: Solve for x
    x = 79,721,519,056.86/270,661.44
  6. Step 6: Final answer
    x = 294,543.32

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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.