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Finding the Fourth Proportional to 295,997.30, 408,513.68 and 194,108.48

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Solution

The fourth proportional to 295,997.30, 408,513.68 and 194,108.48 is: 267,894.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,997.30 : 408,513.68 = 194,108.48 : x
  2. Step 2: Convert to fraction form
    295,997.30/408,513.68 = 194,108.48/x
  3. Step 3: Cross multiply
    295,997.30x = 408,513.68 × 194,108.48
  4. Step 4: Simplify right side
    295,997.30x = 79,295,966,470.90
  5. Step 5: Solve for x
    x = 79,295,966,470.90/295,997.30
  6. Step 6: Final answer
    x = 267,894.23

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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.