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Finding the Fourth Proportional to 777,862, 1,166,793 and 186,886

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Solution

The fourth proportional to 777,862, 1,166,793 and 186,886 is: 280,329

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,862 : 1,166,793 = 186,886 : x
  2. Step 2: Convert to fraction form
    777,862/1,166,793 = 186,886/x
  3. Step 3: Cross multiply
    777,862x = 1,166,793 × 186,886
  4. Step 4: Simplify right side
    777,862x = 218,057,276,598
  5. Step 5: Solve for x
    x = 218,057,276,598/777,862
  6. Step 6: Final answer
    x = 280,329

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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.