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Finding the Fourth Proportional to 412,801.20, 619,201.80 and 397,054.80

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Solution

The fourth proportional to 412,801.20, 619,201.80 and 397,054.80 is: 595,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,801.20 : 619,201.80 = 397,054.80 : x
  2. Step 2: Convert to fraction form
    412,801.20/619,201.80 = 397,054.80/x
  3. Step 3: Cross multiply
    412,801.20x = 619,201.80 × 397,054.80
  4. Step 4: Simplify right side
    412,801.20x = 245,857,046,858.64
  5. Step 5: Solve for x
    x = 245,857,046,858.64/412,801.20
  6. Step 6: Final answer
    x = 595,582.20

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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.