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Finding the Fourth Proportional to 271,718.16, 407,518.88 and 170,467.44

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Solution

The fourth proportional to 271,718.16, 407,518.88 and 170,467.44 is: 255,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,718.16 : 407,518.88 = 170,467.44 : x
  2. Step 2: Convert to fraction form
    271,718.16/407,518.88 = 170,467.44/x
  3. Step 3: Cross multiply
    271,718.16x = 407,518.88 × 170,467.44
  4. Step 4: Simplify right side
    271,718.16x = 69,468,700,225.27
  5. Step 5: Solve for x
    x = 69,468,700,225.27/271,718.16
  6. Step 6: Final answer
    x = 255,664.55

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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.