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Finding the Fourth Proportional to 300,536.53, 414,735 and 164,568.01

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Solution

The fourth proportional to 300,536.53, 414,735 and 164,568.01 is: 227,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,536.53 : 414,735 = 164,568.01 : x
  2. Step 2: Convert to fraction form
    300,536.53/414,735 = 164,568.01/x
  3. Step 3: Cross multiply
    300,536.53x = 414,735 × 164,568.01
  4. Step 4: Simplify right side
    300,536.53x = 68,252,113,627.35
  5. Step 5: Solve for x
    x = 68,252,113,627.35/300,536.53
  6. Step 6: Final answer
    x = 227,100.89

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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.