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Finding the Fourth Proportional to 449,413.68, 674,266.32 and 133,873.32

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Solution

The fourth proportional to 449,413.68, 674,266.32 and 133,873.32 is: 200,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,413.68 : 674,266.32 = 133,873.32 : x
  2. Step 2: Convert to fraction form
    449,413.68/674,266.32 = 133,873.32/x
  3. Step 3: Cross multiply
    449,413.68x = 674,266.32 × 133,873.32
  4. Step 4: Simplify right side
    449,413.68x = 90,266,270,822.58
  5. Step 5: Solve for x
    x = 90,266,270,822.58/449,413.68
  6. Step 6: Final answer
    x = 200,853.41

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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.