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Finding the Fourth Proportional to 414,145.80, 621,218.70 and 177,512.40

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Solution

The fourth proportional to 414,145.80, 621,218.70 and 177,512.40 is: 266,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,145.80 : 621,218.70 = 177,512.40 : x
  2. Step 2: Convert to fraction form
    414,145.80/621,218.70 = 177,512.40/x
  3. Step 3: Cross multiply
    414,145.80x = 621,218.70 × 177,512.40
  4. Step 4: Simplify right side
    414,145.80x = 110,274,022,361.88
  5. Step 5: Solve for x
    x = 110,274,022,361.88/414,145.80
  6. Step 6: Final answer
    x = 266,268.60

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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.