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Finding the Fourth Proportional to 325,907.80, 489,080.40 and 148,323.40

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Solution

The fourth proportional to 325,907.80, 489,080.40 and 148,323.40 is: 222,584.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,907.80 : 489,080.40 = 148,323.40 : x
  2. Step 2: Convert to fraction form
    325,907.80/489,080.40 = 148,323.40/x
  3. Step 3: Cross multiply
    325,907.80x = 489,080.40 × 148,323.40
  4. Step 4: Simplify right side
    325,907.80x = 72,542,067,801.36
  5. Step 5: Solve for x
    x = 72,542,067,801.36/325,907.80
  6. Step 6: Final answer
    x = 222,584.63

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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.