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Finding the Fourth Proportional to 300,496.89, 414,685.74 and 164,530.86

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Solution

The fourth proportional to 300,496.89, 414,685.74 and 164,530.86 is: 227,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,496.89 : 414,685.74 = 164,530.86 : x
  2. Step 2: Convert to fraction form
    300,496.89/414,685.74 = 164,530.86/x
  3. Step 3: Cross multiply
    300,496.89x = 414,685.74 × 164,530.86
  4. Step 4: Simplify right side
    300,496.89x = 68,228,601,431.94
  5. Step 5: Solve for x
    x = 68,228,601,431.94/300,496.89
  6. Step 6: Final answer
    x = 227,052.60

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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.