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Finding the Fourth Proportional to 409,402.26, 613,853.22 and 196,235.40

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Solution

The fourth proportional to 409,402.26, 613,853.22 and 196,235.40 is: 294,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,402.26 : 613,853.22 = 196,235.40 : x
  2. Step 2: Convert to fraction form
    409,402.26/613,853.22 = 196,235.40/x
  3. Step 3: Cross multiply
    409,402.26x = 613,853.22 × 196,235.40
  4. Step 4: Simplify right side
    409,402.26x = 120,459,732,167.99
  5. Step 5: Solve for x
    x = 120,459,732,167.99/409,402.26
  6. Step 6: Final answer
    x = 294,233.19

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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.