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Finding the Fourth Proportional to 230,321.44, 317,698.14 and 158,576.86

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Solution

The fourth proportional to 230,321.44, 317,698.14 and 158,576.86 is: 218,735.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,321.44 : 317,698.14 = 158,576.86 : x
  2. Step 2: Convert to fraction form
    230,321.44/317,698.14 = 158,576.86/x
  3. Step 3: Cross multiply
    230,321.44x = 317,698.14 × 158,576.86
  4. Step 4: Simplify right side
    230,321.44x = 50,379,573,469.04
  5. Step 5: Solve for x
    x = 50,379,573,469.04/230,321.44
  6. Step 6: Final answer
    x = 218,735.93

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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.