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Finding the Fourth Proportional to 300,427.56, 414,583.62 and 164,457.96

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Solution

The fourth proportional to 300,427.56, 414,583.62 and 164,457.96 is: 226,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,427.56 : 414,583.62 = 164,457.96 : x
  2. Step 2: Convert to fraction form
    300,427.56/414,583.62 = 164,457.96/x
  3. Step 3: Cross multiply
    300,427.56x = 414,583.62 × 164,457.96
  4. Step 4: Simplify right side
    300,427.56x = 68,181,576,394.62
  5. Step 5: Solve for x
    x = 68,181,576,394.62/300,427.56
  6. Step 6: Final answer
    x = 226,948.47

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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.