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Finding the Fourth Proportional to 293,896.14, 405,505.71 and 186,427.14

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Solution

The fourth proportional to 293,896.14, 405,505.71 and 186,427.14 is: 257,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,896.14 : 405,505.71 = 186,427.14 : x
  2. Step 2: Convert to fraction form
    293,896.14/405,505.71 = 186,427.14/x
  3. Step 3: Cross multiply
    293,896.14x = 405,505.71 × 186,427.14
  4. Step 4: Simplify right side
    293,896.14x = 75,597,269,768.97
  5. Step 5: Solve for x
    x = 75,597,269,768.97/293,896.14
  6. Step 6: Final answer
    x = 257,224.44

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1.5x scale

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.