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Finding the Fourth Proportional to 306,008.37, 422,330.38 and 185,150.65

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Solution

The fourth proportional to 306,008.37, 422,330.38 and 185,150.65 is: 255,531.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,008.37 : 422,330.38 = 185,150.65 : x
  2. Step 2: Convert to fraction form
    306,008.37/422,330.38 = 185,150.65/x
  3. Step 3: Cross multiply
    306,008.37x = 422,330.38 × 185,150.65
  4. Step 4: Simplify right side
    306,008.37x = 78,194,741,797.22
  5. Step 5: Solve for x
    x = 78,194,741,797.22/306,008.37
  6. Step 6: Final answer
    x = 255,531.39

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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.