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Finding the Fourth Proportional to 306,009.37, 422,331.76 and 185,151.65

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Solution

The fourth proportional to 306,009.37, 422,331.76 and 185,151.65 is: 255,532.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,009.37 : 422,331.76 = 185,151.65 : x
  2. Step 2: Convert to fraction form
    306,009.37/422,331.76 = 185,151.65/x
  3. Step 3: Cross multiply
    306,009.37x = 422,331.76 × 185,151.65
  4. Step 4: Simplify right side
    306,009.37x = 78,195,422,211.40
  5. Step 5: Solve for x
    x = 78,195,422,211.40/306,009.37
  6. Step 6: Final answer
    x = 255,532.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.