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Finding the Fourth Proportional to 397,548.23, 548,606.67 and 227,771.42

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Solution

The fourth proportional to 397,548.23, 548,606.67 and 227,771.42 is: 314,318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,548.23 : 548,606.67 = 227,771.42 : x
  2. Step 2: Convert to fraction form
    397,548.23/548,606.67 = 227,771.42/x
  3. Step 3: Cross multiply
    397,548.23x = 548,606.67 × 227,771.42
  4. Step 4: Simplify right side
    397,548.23x = 124,956,920,247.37
  5. Step 5: Solve for x
    x = 124,956,920,247.37/397,548.23
  6. Step 6: Final answer
    x = 314,318.89

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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.