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Finding the Fourth Proportional to 300,515.57, 414,711.59 and 164,558.14

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Solution

The fourth proportional to 300,515.57, 414,711.59 and 164,558.14 is: 227,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,515.57 : 414,711.59 = 164,558.14 : x
  2. Step 2: Convert to fraction form
    300,515.57/414,711.59 = 164,558.14/x
  3. Step 3: Cross multiply
    300,515.57x = 414,711.59 × 164,558.14
  4. Step 4: Simplify right side
    300,515.57x = 68,244,167,886.84
  5. Step 5: Solve for x
    x = 68,244,167,886.84/300,515.57
  6. Step 6: Final answer
    x = 227,090.29

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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.