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Finding the Fourth Proportional to 275,661, 413,603.16 and 186,863.88

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Solution

The fourth proportional to 275,661, 413,603.16 and 186,863.88 is: 280,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,661 : 413,603.16 = 186,863.88 : x
  2. Step 2: Convert to fraction form
    275,661/413,603.16 = 186,863.88/x
  3. Step 3: Cross multiply
    275,661x = 413,603.16 × 186,863.88
  4. Step 4: Simplify right side
    275,661x = 77,287,491,257.86
  5. Step 5: Solve for x
    x = 77,287,491,257.86/275,661
  6. Step 6: Final answer
    x = 280,371.51

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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.