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Finding the Fourth Proportional to 300,548.30, 414,757.36 and 164,591.14

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Solution

The fourth proportional to 300,548.30, 414,757.36 and 164,591.14 is: 227,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,548.30 : 414,757.36 = 164,591.14 : x
  2. Step 2: Convert to fraction form
    300,548.30/414,757.36 = 164,591.14/x
  3. Step 3: Cross multiply
    300,548.30x = 414,757.36 × 164,591.14
  4. Step 4: Simplify right side
    300,548.30x = 68,265,386,705.79
  5. Step 5: Solve for x
    x = 68,265,386,705.79/300,548.30
  6. Step 6: Final answer
    x = 227,136.16

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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.