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Finding the Fourth Proportional to 273,976.98, 410,301.14 and 189,500.06

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Solution

The fourth proportional to 273,976.98, 410,301.14 and 189,500.06 is: 283,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,976.98 : 410,301.14 = 189,500.06 : x
  2. Step 2: Convert to fraction form
    273,976.98/410,301.14 = 189,500.06/x
  3. Step 3: Cross multiply
    273,976.98x = 410,301.14 × 189,500.06
  4. Step 4: Simplify right side
    273,976.98x = 77,752,087,649.06
  5. Step 5: Solve for x
    x = 77,752,087,649.06/273,976.98
  6. Step 6: Final answer
    x = 283,790.59

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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.