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Finding the Fourth Proportional to 411,921.60, 616,845.60 and 270,916.80

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Solution

The fourth proportional to 411,921.60, 616,845.60 and 270,916.80 is: 405,693.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,921.60 : 616,845.60 = 270,916.80 : x
  2. Step 2: Convert to fraction form
    411,921.60/616,845.60 = 270,916.80/x
  3. Step 3: Cross multiply
    411,921.60x = 616,845.60 × 270,916.80
  4. Step 4: Simplify right side
    411,921.60x = 167,113,836,046.08
  5. Step 5: Solve for x
    x = 167,113,836,046.08/411,921.60
  6. Step 6: Final answer
    x = 405,693.31

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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.