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Finding the Fourth Proportional to 355,629.89, 491,321.85 and 298,180.14

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Solution

The fourth proportional to 355,629.89, 491,321.85 and 298,180.14 is: 411,951.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,629.89 : 491,321.85 = 298,180.14 : x
  2. Step 2: Convert to fraction form
    355,629.89/491,321.85 = 298,180.14/x
  3. Step 3: Cross multiply
    355,629.89x = 491,321.85 × 298,180.14
  4. Step 4: Simplify right side
    355,629.89x = 146,502,416,734.69
  5. Step 5: Solve for x
    x = 146,502,416,734.69/355,629.89
  6. Step 6: Final answer
    x = 411,951.92

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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.