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Finding the Fourth Proportional to 271,413.40, 407,144.40 and 113,609.20

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Solution

The fourth proportional to 271,413.40, 407,144.40 and 113,609.20 is: 170,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,413.40 : 407,144.40 = 113,609.20 : x
  2. Step 2: Convert to fraction form
    271,413.40/407,144.40 = 113,609.20/x
  3. Step 3: Cross multiply
    271,413.40x = 407,144.40 × 113,609.20
  4. Step 4: Simplify right side
    271,413.40x = 46,255,349,568.48
  5. Step 5: Solve for x
    x = 46,255,349,568.48/271,413.40
  6. Step 6: Final answer
    x = 170,423.97

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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.