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Finding the Fourth Proportional to 300,173.04, 414,221.40 and 164,179.80

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Solution

The fourth proportional to 300,173.04, 414,221.40 and 164,179.80 is: 226,558.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,173.04 : 414,221.40 = 164,179.80 : x
  2. Step 2: Convert to fraction form
    300,173.04/414,221.40 = 164,179.80/x
  3. Step 3: Cross multiply
    300,173.04x = 414,221.40 × 164,179.80
  4. Step 4: Simplify right side
    300,173.04x = 68,006,786,607.72
  5. Step 5: Solve for x
    x = 68,006,786,607.72/300,173.04
  6. Step 6: Final answer
    x = 226,558.61

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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.