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Finding the Fourth Proportional to 384,314.49, 530,495.52 and 231,359.79

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Solution

The fourth proportional to 384,314.49, 530,495.52 and 231,359.79 is: 319,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,314.49 : 530,495.52 = 231,359.79 : x
  2. Step 2: Convert to fraction form
    384,314.49/530,495.52 = 231,359.79/x
  3. Step 3: Cross multiply
    384,314.49x = 530,495.52 × 231,359.79
  4. Step 4: Simplify right side
    384,314.49x = 122,735,332,103.14
  5. Step 5: Solve for x
    x = 122,735,332,103.14/384,314.49
  6. Step 6: Final answer
    x = 319,361.71

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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.