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Finding the Fourth Proportional to 420,916.53, 580,843.16 and 229,893.02

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Solution

The fourth proportional to 420,916.53, 580,843.16 and 229,893.02 is: 317,240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,916.53 : 580,843.16 = 229,893.02 : x
  2. Step 2: Convert to fraction form
    420,916.53/580,843.16 = 229,893.02/x
  3. Step 3: Cross multiply
    420,916.53x = 580,843.16 × 229,893.02
  4. Step 4: Simplify right side
    420,916.53x = 133,531,784,145.06
  5. Step 5: Solve for x
    x = 133,531,784,145.06/420,916.53
  6. Step 6: Final answer
    x = 317,240.53

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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.