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Finding the Fourth Proportional to 454,885.23, 682,318.50 and 202,097.19

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Solution

The fourth proportional to 454,885.23, 682,318.50 and 202,097.19 is: 303,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,885.23 : 682,318.50 = 202,097.19 : x
  2. Step 2: Convert to fraction form
    454,885.23/682,318.50 = 202,097.19/x
  3. Step 3: Cross multiply
    454,885.23x = 682,318.50 × 202,097.19
  4. Step 4: Simplify right side
    454,885.23x = 137,894,651,535.02
  5. Step 5: Solve for x
    x = 137,894,651,535.02/454,885.23
  6. Step 6: Final answer
    x = 303,141.63

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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.