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Finding the Fourth Proportional to 276,651.90, 414,977.85 and 164,458.80

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Solution

The fourth proportional to 276,651.90, 414,977.85 and 164,458.80 is: 246,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,651.90 : 414,977.85 = 164,458.80 : x
  2. Step 2: Convert to fraction form
    276,651.90/414,977.85 = 164,458.80/x
  3. Step 3: Cross multiply
    276,651.90x = 414,977.85 × 164,458.80
  4. Step 4: Simplify right side
    276,651.90x = 68,246,759,237.58
  5. Step 5: Solve for x
    x = 68,246,759,237.58/276,651.90
  6. Step 6: Final answer
    x = 246,688.20

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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.