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Finding the Fourth Proportional to 298,201.53, 411,487.40 and 177,319.47

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Solution

The fourth proportional to 298,201.53, 411,487.40 and 177,319.47 is: 244,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,201.53 : 411,487.40 = 177,319.47 : x
  2. Step 2: Convert to fraction form
    298,201.53/411,487.40 = 177,319.47/x
  3. Step 3: Cross multiply
    298,201.53x = 411,487.40 × 177,319.47
  4. Step 4: Simplify right side
    298,201.53x = 72,964,726,793.08
  5. Step 5: Solve for x
    x = 72,964,726,793.08/298,201.53
  6. Step 6: Final answer
    x = 244,682.60

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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.