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Finding the Fourth Proportional to 306,998.50, 460,523.67 and 85,382.50

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Solution

The fourth proportional to 306,998.50, 460,523.67 and 85,382.50 is: 128,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,998.50 : 460,523.67 = 85,382.50 : x
  2. Step 2: Convert to fraction form
    306,998.50/460,523.67 = 85,382.50/x
  3. Step 3: Cross multiply
    306,998.50x = 460,523.67 × 85,382.50
  4. Step 4: Simplify right side
    306,998.50x = 39,320,662,253.78
  5. Step 5: Solve for x
    x = 39,320,662,253.78/306,998.50
  6. Step 6: Final answer
    x = 128,080.96

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