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Finding the Fourth Proportional to 414,236.65, 621,348.66 and 186,371.32

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Solution

The fourth proportional to 414,236.65, 621,348.66 and 186,371.32 is: 279,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,236.65 : 621,348.66 = 186,371.32 : x
  2. Step 2: Convert to fraction form
    414,236.65/621,348.66 = 186,371.32/x
  3. Step 3: Cross multiply
    414,236.65x = 621,348.66 × 186,371.32
  4. Step 4: Simplify right side
    414,236.65x = 115,801,569,944.43
  5. Step 5: Solve for x
    x = 115,801,569,944.43/414,236.65
  6. Step 6: Final answer
    x = 279,554.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.