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Finding the Fourth Proportional to 271,079.64, 405,766.94 and 186,344.19

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Solution

The fourth proportional to 271,079.64, 405,766.94 and 186,344.19 is: 278,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,079.64 : 405,766.94 = 186,344.19 : x
  2. Step 2: Convert to fraction form
    271,079.64/405,766.94 = 186,344.19/x
  3. Step 3: Cross multiply
    271,079.64x = 405,766.94 × 186,344.19
  4. Step 4: Simplify right side
    271,079.64x = 75,612,310,831.36
  5. Step 5: Solve for x
    x = 75,612,310,831.36/271,079.64
  6. Step 6: Final answer
    x = 278,930.25

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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.