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Finding the Fourth Proportional to 414,004.80, 621,007.20 and 397,675.20

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Solution

The fourth proportional to 414,004.80, 621,007.20 and 397,675.20 is: 596,512.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,004.80 : 621,007.20 = 397,675.20 : x
  2. Step 2: Convert to fraction form
    414,004.80/621,007.20 = 397,675.20/x
  3. Step 3: Cross multiply
    414,004.80x = 621,007.20 × 397,675.20
  4. Step 4: Simplify right side
    414,004.80x = 246,959,162,461.44
  5. Step 5: Solve for x
    x = 246,959,162,461.44/414,004.80
  6. Step 6: Final answer
    x = 596,512.80

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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.