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Finding the Fourth Proportional to 299,413.80, 448,464.60 and 266,171.40

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Solution

The fourth proportional to 299,413.80, 448,464.60 and 266,171.40 is: 398,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,413.80 : 448,464.60 = 266,171.40 : x
  2. Step 2: Convert to fraction form
    299,413.80/448,464.60 = 266,171.40/x
  3. Step 3: Cross multiply
    299,413.80x = 448,464.60 × 266,171.40
  4. Step 4: Simplify right side
    299,413.80x = 119,368,450,432.44
  5. Step 5: Solve for x
    x = 119,368,450,432.44/299,413.80
  6. Step 6: Final answer
    x = 398,673.84

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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.