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Finding the Fourth Proportional to 276,622.40, 414,933.60 and 171,646.40

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Solution

The fourth proportional to 276,622.40, 414,933.60 and 171,646.40 is: 257,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,622.40 : 414,933.60 = 171,646.40 : x
  2. Step 2: Convert to fraction form
    276,622.40/414,933.60 = 171,646.40/x
  3. Step 3: Cross multiply
    276,622.40x = 414,933.60 × 171,646.40
  4. Step 4: Simplify right side
    276,622.40x = 71,221,858,679.04
  5. Step 5: Solve for x
    x = 71,221,858,679.04/276,622.40
  6. Step 6: Final answer
    x = 257,469.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.