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Finding the Fourth Proportional to 505,813.45, 698,014.39 and 276,365.83

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Solution

The fourth proportional to 505,813.45, 698,014.39 and 276,365.83 is: 381,380.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,813.45 : 698,014.39 = 276,365.83 : x
  2. Step 2: Convert to fraction form
    505,813.45/698,014.39 = 276,365.83/x
  3. Step 3: Cross multiply
    505,813.45x = 698,014.39 × 276,365.83
  4. Step 4: Simplify right side
    505,813.45x = 192,907,326,244.29
  5. Step 5: Solve for x
    x = 192,907,326,244.29/505,813.45
  6. Step 6: Final answer
    x = 381,380.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.