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Finding the Fourth Proportional to 424,406.27, 585,684.59 and 230,815.80

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Solution

The fourth proportional to 424,406.27, 585,684.59 and 230,815.80 is: 318,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,406.27 : 585,684.59 = 230,815.80 : x
  2. Step 2: Convert to fraction form
    424,406.27/585,684.59 = 230,815.80/x
  3. Step 3: Cross multiply
    424,406.27x = 585,684.59 × 230,815.80
  4. Step 4: Simplify right side
    424,406.27x = 135,185,256,034.44
  5. Step 5: Solve for x
    x = 135,185,256,034.44/424,406.27
  6. Step 6: Final answer
    x = 318,527.95

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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.