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Finding the Fourth Proportional to 461,413.56, 636,794.55 and 280,083.81

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Solution

The fourth proportional to 461,413.56, 636,794.55 and 280,083.81 is: 386,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,413.56 : 636,794.55 = 280,083.81 : x
  2. Step 2: Convert to fraction form
    461,413.56/636,794.55 = 280,083.81/x
  3. Step 3: Cross multiply
    461,413.56x = 636,794.55 × 280,083.81
  4. Step 4: Simplify right side
    461,413.56x = 178,355,843,751.24
  5. Step 5: Solve for x
    x = 178,355,843,751.24/461,413.56
  6. Step 6: Final answer
    x = 386,542.27

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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.