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Finding the Fourth Proportional to 414,093.70, 571,436.07 and 232,813.30

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Solution

The fourth proportional to 414,093.70, 571,436.07 and 232,813.30 is: 321,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,093.70 : 571,436.07 = 232,813.30 : x
  2. Step 2: Convert to fraction form
    414,093.70/571,436.07 = 232,813.30/x
  3. Step 3: Cross multiply
    414,093.70x = 571,436.07 × 232,813.30
  4. Step 4: Simplify right side
    414,093.70x = 133,037,917,195.73
  5. Step 5: Solve for x
    x = 133,037,917,195.73/414,093.70
  6. Step 6: Final answer
    x = 321,274.91

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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.