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Finding the Fourth Proportional to 276,657.60, 414,986.40 and 183,163.35

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Solution

The fourth proportional to 276,657.60, 414,986.40 and 183,163.35 is: 274,745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,657.60 : 414,986.40 = 183,163.35 : x
  2. Step 2: Convert to fraction form
    276,657.60/414,986.40 = 183,163.35/x
  3. Step 3: Cross multiply
    276,657.60x = 414,986.40 × 183,163.35
  4. Step 4: Simplify right side
    276,657.60x = 76,010,299,228.44
  5. Step 5: Solve for x
    x = 76,010,299,228.44/276,657.60
  6. Step 6: Final answer
    x = 274,745.03

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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.