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Finding the Fourth Proportional to 313,771.78, 470,714.10 and 114,371.92

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Solution

The fourth proportional to 313,771.78, 470,714.10 and 114,371.92 is: 171,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,771.78 : 470,714.10 = 114,371.92 : x
  2. Step 2: Convert to fraction form
    313,771.78/470,714.10 = 114,371.92/x
  3. Step 3: Cross multiply
    313,771.78x = 470,714.10 × 114,371.92
  4. Step 4: Simplify right side
    313,771.78x = 53,836,475,388.07
  5. Step 5: Solve for x
    x = 53,836,475,388.07/313,771.78
  6. Step 6: Final answer
    x = 171,578.45

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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.