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Finding the Fourth Proportional to 313,883.14, 470,963.76 and 178,942.24

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Solution

The fourth proportional to 313,883.14, 470,963.76 and 178,942.24 is: 268,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,883.14 : 470,963.76 = 178,942.24 : x
  2. Step 2: Convert to fraction form
    313,883.14/470,963.76 = 178,942.24/x
  3. Step 3: Cross multiply
    313,883.14x = 470,963.76 × 178,942.24
  4. Step 4: Simplify right side
    313,883.14x = 84,275,310,173.22
  5. Step 5: Solve for x
    x = 84,275,310,173.22/313,883.14
  6. Step 6: Final answer
    x = 268,492.63

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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.