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Finding the Fourth Proportional to 313,773.62, 470,546.48 and 171,723.87

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Solution

The fourth proportional to 313,773.62, 470,546.48 and 171,723.87 is: 257,523.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,773.62 : 470,546.48 = 171,723.87 : x
  2. Step 2: Convert to fraction form
    313,773.62/470,546.48 = 171,723.87/x
  3. Step 3: Cross multiply
    313,773.62x = 470,546.48 × 171,723.87
  4. Step 4: Simplify right side
    313,773.62x = 80,804,062,989.79
  5. Step 5: Solve for x
    x = 80,804,062,989.79/313,773.62
  6. Step 6: Final answer
    x = 257,523.45

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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.