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Finding the Fourth Proportional to 271,178.93, 406,367.48 and 256,014.23

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Solution

The fourth proportional to 271,178.93, 406,367.48 and 256,014.23 is: 383,642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,178.93 : 406,367.48 = 256,014.23 : x
  2. Step 2: Convert to fraction form
    271,178.93/406,367.48 = 256,014.23/x
  3. Step 3: Cross multiply
    271,178.93x = 406,367.48 × 256,014.23
  4. Step 4: Simplify right side
    271,178.93x = 104,035,856,097.44
  5. Step 5: Solve for x
    x = 104,035,856,097.44/271,178.93
  6. Step 6: Final answer
    x = 383,642.84

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1.5x scale

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.