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Finding the Fourth Proportional to 300,493.65, 414,668.41 and 164,525.12

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Solution

The fourth proportional to 300,493.65, 414,668.41 and 164,525.12 is: 227,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,493.65 : 414,668.41 = 164,525.12 : x
  2. Step 2: Convert to fraction form
    300,493.65/414,668.41 = 164,525.12/x
  3. Step 3: Cross multiply
    300,493.65x = 414,668.41 × 164,525.12
  4. Step 4: Simplify right side
    300,493.65x = 68,223,372,243.77
  5. Step 5: Solve for x
    x = 68,223,372,243.77/300,493.65
  6. Step 6: Final answer
    x = 227,037.65

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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.