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Finding the Fourth Proportional to 295,997.94, 408,204.59 and 193,986.23

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Solution

The fourth proportional to 295,997.94, 408,204.59 and 193,986.23 is: 267,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,997.94 : 408,204.59 = 193,986.23 : x
  2. Step 2: Convert to fraction form
    295,997.94/408,204.59 = 193,986.23/x
  3. Step 3: Cross multiply
    295,997.94x = 408,204.59 × 193,986.23
  4. Step 4: Simplify right side
    295,997.94x = 79,186,069,533.38
  5. Step 5: Solve for x
    x = 79,186,069,533.38/295,997.94
  6. Step 6: Final answer
    x = 267,522.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.