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Finding the Fourth Proportional to 300,555.36, 414,774.12 and 164,596.80

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Solution

The fourth proportional to 300,555.36, 414,774.12 and 164,596.80 is: 227,147.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,555.36 : 414,774.12 = 164,596.80 : x
  2. Step 2: Convert to fraction form
    300,555.36/414,774.12 = 164,596.80/x
  3. Step 3: Cross multiply
    300,555.36x = 414,774.12 × 164,596.80
  4. Step 4: Simplify right side
    300,555.36x = 68,270,492,874.82
  5. Step 5: Solve for x
    x = 68,270,492,874.82/300,555.36
  6. Step 6: Final answer
    x = 227,147.81

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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.