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Finding the Fourth Proportional to 492,410.60, 738,640.20 and 256,214.60

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Solution

The fourth proportional to 492,410.60, 738,640.20 and 256,214.60 is: 384,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,410.60 : 738,640.20 = 256,214.60 : x
  2. Step 2: Convert to fraction form
    492,410.60/738,640.20 = 256,214.60/x
  3. Step 3: Cross multiply
    492,410.60x = 738,640.20 × 256,214.60
  4. Step 4: Simplify right side
    492,410.60x = 189,250,403,386.92
  5. Step 5: Solve for x
    x = 189,250,403,386.92/492,410.60
  6. Step 6: Final answer
    x = 384,334.54

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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.