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Finding the Fourth Proportional to 300,507.88, 414,700.81 and 164,541.81

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Solution

The fourth proportional to 300,507.88, 414,700.81 and 164,541.81 is: 227,067.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,507.88 : 414,700.81 = 164,541.81 : x
  2. Step 2: Convert to fraction form
    300,507.88/414,700.81 = 164,541.81/x
  3. Step 3: Cross multiply
    300,507.88x = 414,700.81 × 164,541.81
  4. Step 4: Simplify right side
    300,507.88x = 68,235,621,885.87
  5. Step 5: Solve for x
    x = 68,235,621,885.87/300,507.88
  6. Step 6: Final answer
    x = 227,067.66

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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.