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Finding the Fourth Proportional to 300,624.06, 414,846.42 and 164,658.60

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Solution

The fourth proportional to 300,624.06, 414,846.42 and 164,658.60 is: 227,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,624.06 : 414,846.42 = 164,658.60 : x
  2. Step 2: Convert to fraction form
    300,624.06/414,846.42 = 164,658.60/x
  3. Step 3: Cross multiply
    300,624.06x = 414,846.42 × 164,658.60
  4. Step 4: Simplify right side
    300,624.06x = 68,308,030,732.21
  5. Step 5: Solve for x
    x = 68,308,030,732.21/300,624.06
  6. Step 6: Final answer
    x = 227,220.77

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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.