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Finding the Fourth Proportional to 416,287.68, 623,833.72 and 205,679.60

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Solution

The fourth proportional to 416,287.68, 623,833.72 and 205,679.60 is: 308,224.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,287.68 : 623,833.72 = 205,679.60 : x
  2. Step 2: Convert to fraction form
    416,287.68/623,833.72 = 205,679.60/x
  3. Step 3: Cross multiply
    416,287.68x = 623,833.72 × 205,679.60
  4. Step 4: Simplify right side
    416,287.68x = 128,309,869,996.11
  5. Step 5: Solve for x
    x = 128,309,869,996.11/416,287.68
  6. Step 6: Final answer
    x = 308,224.04

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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.