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Finding the Fourth Proportional to 777,890, 1,166,835 and 186,914

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Solution

The fourth proportional to 777,890, 1,166,835 and 186,914 is: 280,371

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,890 : 1,166,835 = 186,914 : x
  2. Step 2: Convert to fraction form
    777,890/1,166,835 = 186,914/x
  3. Step 3: Cross multiply
    777,890x = 1,166,835 × 186,914
  4. Step 4: Simplify right side
    777,890x = 218,097,797,190
  5. Step 5: Solve for x
    x = 218,097,797,190/777,890
  6. Step 6: Final answer
    x = 280,371

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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.