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Finding the Fourth Proportional to 449,413.62, 674,097.49 and 165,082.35

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Solution

The fourth proportional to 449,413.62, 674,097.49 and 165,082.35 is: 247,615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,413.62 : 674,097.49 = 165,082.35 : x
  2. Step 2: Convert to fraction form
    449,413.62/674,097.49 = 165,082.35/x
  3. Step 3: Cross multiply
    449,413.62x = 674,097.49 × 165,082.35
  4. Step 4: Simplify right side
    449,413.62x = 111,281,600,512.52
  5. Step 5: Solve for x
    x = 111,281,600,512.52/449,413.62
  6. Step 6: Final answer
    x = 247,615.11

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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.