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Finding the Fourth Proportional to 313,764.54, 432,997.83 and 170,524.68

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Solution

The fourth proportional to 313,764.54, 432,997.83 and 170,524.68 is: 235,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,764.54 : 432,997.83 = 170,524.68 : x
  2. Step 2: Convert to fraction form
    313,764.54/432,997.83 = 170,524.68/x
  3. Step 3: Cross multiply
    313,764.54x = 432,997.83 × 170,524.68
  4. Step 4: Simplify right side
    313,764.54x = 73,836,816,401.44
  5. Step 5: Solve for x
    x = 73,836,816,401.44/313,764.54
  6. Step 6: Final answer
    x = 235,325.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.