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Finding the Fourth Proportional to 306,495.33, 459,738.38 and 137,896.59

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Solution

The fourth proportional to 306,495.33, 459,738.38 and 137,896.59 is: 206,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495.33 : 459,738.38 = 137,896.59 : x
  2. Step 2: Convert to fraction form
    306,495.33/459,738.38 = 137,896.59/x
  3. Step 3: Cross multiply
    306,495.33x = 459,738.38 × 137,896.59
  4. Step 4: Simplify right side
    306,495.33x = 63,396,354,204.64
  5. Step 5: Solve for x
    x = 63,396,354,204.64/306,495.33
  6. Step 6: Final answer
    x = 206,842.81

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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.