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Finding the Fourth Proportional to 299,422.64, 413,204.18 and 191,993.10

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Solution

The fourth proportional to 299,422.64, 413,204.18 and 191,993.10 is: 264,951.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,422.64 : 413,204.18 = 191,993.10 : x
  2. Step 2: Convert to fraction form
    299,422.64/413,204.18 = 191,993.10/x
  3. Step 3: Cross multiply
    299,422.64x = 413,204.18 × 191,993.10
  4. Step 4: Simplify right side
    299,422.64x = 79,332,348,941.68
  5. Step 5: Solve for x
    x = 79,332,348,941.68/299,422.64
  6. Step 6: Final answer
    x = 264,951.07

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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.