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Finding the Fourth Proportional to 276,436.36, 414,653.82 and 110,341

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Solution

The fourth proportional to 276,436.36, 414,653.82 and 110,341 is: 165,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,436.36 : 414,653.82 = 110,341 : x
  2. Step 2: Convert to fraction form
    276,436.36/414,653.82 = 110,341/x
  3. Step 3: Cross multiply
    276,436.36x = 414,653.82 × 110,341
  4. Step 4: Simplify right side
    276,436.36x = 45,753,317,152.62
  5. Step 5: Solve for x
    x = 45,753,317,152.62/276,436.36
  6. Step 6: Final answer
    x = 165,511.21

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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.