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Finding the Fourth Proportional to 300,536.64, 414,741.26 and 164,579.49

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Solution

The fourth proportional to 300,536.64, 414,741.26 and 164,579.49 is: 227,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,536.64 : 414,741.26 = 164,579.49 : x
  2. Step 2: Convert to fraction form
    300,536.64/414,741.26 = 164,579.49/x
  3. Step 3: Cross multiply
    300,536.64x = 414,741.26 × 164,579.49
  4. Step 4: Simplify right side
    300,536.64x = 68,257,905,464.21
  5. Step 5: Solve for x
    x = 68,257,905,464.21/300,536.64
  6. Step 6: Final answer
    x = 227,120.08

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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.