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Finding the Fourth Proportional to 313,772.28, 470,714.85 and 114,372.42

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Solution

The fourth proportional to 313,772.28, 470,714.85 and 114,372.42 is: 171,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,772.28 : 470,714.85 = 114,372.42 : x
  2. Step 2: Convert to fraction form
    313,772.28/470,714.85 = 114,372.42/x
  3. Step 3: Cross multiply
    313,772.28x = 470,714.85 × 114,372.42
  4. Step 4: Simplify right side
    313,772.28x = 53,836,796,524.44
  5. Step 5: Solve for x
    x = 53,836,796,524.44/313,772.28
  6. Step 6: Final answer
    x = 171,579.20

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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.