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Finding the Fourth Proportional to 276,400, 414,583.52 and 162,611.74

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Solution

The fourth proportional to 276,400, 414,583.52 and 162,611.74 is: 243,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,400 : 414,583.52 = 162,611.74 : x
  2. Step 2: Convert to fraction form
    276,400/414,583.52 = 162,611.74/x
  3. Step 3: Cross multiply
    276,400x = 414,583.52 × 162,611.74
  4. Step 4: Simplify right side
    276,400x = 67,416,147,562.52
  5. Step 5: Solve for x
    x = 67,416,147,562.52/276,400
  6. Step 6: Final answer
    x = 243,907.91

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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.