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Finding the Fourth Proportional to 414,754.88, 622,881.76 and 381,413.44

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Solution

The fourth proportional to 414,754.88, 622,881.76 and 381,413.44 is: 572,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,754.88 : 622,881.76 = 381,413.44 : x
  2. Step 2: Convert to fraction form
    414,754.88/622,881.76 = 381,413.44/x
  3. Step 3: Cross multiply
    414,754.88x = 622,881.76 × 381,413.44
  4. Step 4: Simplify right side
    414,754.88x = 237,575,474,794.85
  5. Step 5: Solve for x
    x = 237,575,474,794.85/414,754.88
  6. Step 6: Final answer
    x = 572,809.35

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1.5x scale

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.