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Finding the Fourth Proportional to 300,537.64, 414,742.64 and 164,580.49

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Solution

The fourth proportional to 300,537.64, 414,742.64 and 164,580.49 is: 227,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,537.64 : 414,742.64 = 164,580.49 : x
  2. Step 2: Convert to fraction form
    300,537.64/414,742.64 = 164,580.49/x
  3. Step 3: Cross multiply
    300,537.64x = 414,742.64 × 164,580.49
  4. Step 4: Simplify right side
    300,537.64x = 68,258,546,915.09
  5. Step 5: Solve for x
    x = 68,258,546,915.09/300,537.64
  6. Step 6: Final answer
    x = 227,121.46

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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.