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Finding the Fourth Proportional to 300,537.89, 414,742.99 and 164,580.74

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Solution

The fourth proportional to 300,537.89, 414,742.99 and 164,580.74 is: 227,121.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,537.89 : 414,742.99 = 164,580.74 : x
  2. Step 2: Convert to fraction form
    300,537.89/414,742.99 = 164,580.74/x
  3. Step 3: Cross multiply
    300,537.89x = 414,742.99 × 164,580.74
  4. Step 4: Simplify right side
    300,537.89x = 68,258,708,204.01
  5. Step 5: Solve for x
    x = 68,258,708,204.01/300,537.89
  6. Step 6: Final answer
    x = 227,121.81

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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.