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Finding the Fourth Proportional to 264,258.27, 396,447.98 and 114,523.70

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Solution

The fourth proportional to 264,258.27, 396,447.98 and 114,523.70 is: 171,811.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,258.27 : 396,447.98 = 114,523.70 : x
  2. Step 2: Convert to fraction form
    264,258.27/396,447.98 = 114,523.70/x
  3. Step 3: Cross multiply
    264,258.27x = 396,447.98 × 114,523.70
  4. Step 4: Simplify right side
    264,258.27x = 45,402,689,527.13
  5. Step 5: Solve for x
    x = 45,402,689,527.13/264,258.27
  6. Step 6: Final answer
    x = 171,811.80

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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.