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Finding the Fourth Proportional to 315,738.20, 474,773.70 and 264,416.60

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Solution

The fourth proportional to 315,738.20, 474,773.70 and 264,416.60 is: 397,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,738.20 : 474,773.70 = 264,416.60 : x
  2. Step 2: Convert to fraction form
    315,738.20/474,773.70 = 264,416.60/x
  3. Step 3: Cross multiply
    315,738.20x = 474,773.70 × 264,416.60
  4. Step 4: Simplify right side
    315,738.20x = 125,538,047,523.42
  5. Step 5: Solve for x
    x = 125,538,047,523.42/315,738.20
  6. Step 6: Final answer
    x = 397,601.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.