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Finding the Fourth Proportional to 511,413.14, 706,052.86 and 454,667.78

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Solution

The fourth proportional to 511,413.14, 706,052.86 and 454,667.78 is: 627,710.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,413.14 : 706,052.86 = 454,667.78 : x
  2. Step 2: Convert to fraction form
    511,413.14/706,052.86 = 454,667.78/x
  3. Step 3: Cross multiply
    511,413.14x = 706,052.86 × 454,667.78
  4. Step 4: Simplify right side
    511,413.14x = 321,019,486,418.85
  5. Step 5: Solve for x
    x = 321,019,486,418.85/511,413.14
  6. Step 6: Final answer
    x = 627,710.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.