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Finding the Fourth Proportional to 271,406.72, 407,360.64 and 195,584

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Solution

The fourth proportional to 271,406.72, 407,360.64 and 195,584 is: 293,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,406.72 : 407,360.64 = 195,584 : x
  2. Step 2: Convert to fraction form
    271,406.72/407,360.64 = 195,584/x
  3. Step 3: Cross multiply
    271,406.72x = 407,360.64 × 195,584
  4. Step 4: Simplify right side
    271,406.72x = 79,673,223,413.76
  5. Step 5: Solve for x
    x = 79,673,223,413.76/271,406.72
  6. Step 6: Final answer
    x = 293,556.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.