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Finding the Fourth Proportional to 288,105.34, 397,583.06 and 167,257.84

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Solution

The fourth proportional to 288,105.34, 397,583.06 and 167,257.84 is: 230,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,105.34 : 397,583.06 = 167,257.84 : x
  2. Step 2: Convert to fraction form
    288,105.34/397,583.06 = 167,257.84/x
  3. Step 3: Cross multiply
    288,105.34x = 397,583.06 × 167,257.84
  4. Step 4: Simplify right side
    288,105.34x = 66,498,883,836.19
  5. Step 5: Solve for x
    x = 66,498,883,836.19/288,105.34
  6. Step 6: Final answer
    x = 230,814.48

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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.