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Finding the Fourth Proportional to 1,842,684, 2,764,408.32 and 777,734.88

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Solution

The fourth proportional to 1,842,684, 2,764,408.32 and 777,734.88 is: 1,166,763.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,684 : 2,764,408.32 = 777,734.88 : x
  2. Step 2: Convert to fraction form
    1,842,684/2,764,408.32 = 777,734.88/x
  3. Step 3: Cross multiply
    1,842,684x = 2,764,408.32 × 777,734.88
  4. Step 4: Simplify right side
    1,842,684x = 2,149,976,773,026.20
  5. Step 5: Solve for x
    x = 2,149,976,773,026.20/1,842,684
  6. Step 6: Final answer
    x = 1,166,763.68

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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.