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Finding the Fourth Proportional to 414,145.50, 621,232.14 and 114,601.02

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Solution

The fourth proportional to 414,145.50, 621,232.14 and 114,601.02 is: 171,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,145.50 : 621,232.14 = 114,601.02 : x
  2. Step 2: Convert to fraction form
    414,145.50/621,232.14 = 114,601.02/x
  3. Step 3: Cross multiply
    414,145.50x = 621,232.14 × 114,601.02
  4. Step 4: Simplify right side
    414,145.50x = 71,193,836,900.78
  5. Step 5: Solve for x
    x = 71,193,836,900.78/414,145.50
  6. Step 6: Final answer
    x = 171,905.37

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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.