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Finding the Fourth Proportional to 463,881.92, 694,422.18 and 419,529.56

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Solution

The fourth proportional to 463,881.92, 694,422.18 and 419,529.56 is: 628,027.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,881.92 : 694,422.18 = 419,529.56 : x
  2. Step 2: Convert to fraction form
    463,881.92/694,422.18 = 419,529.56/x
  3. Step 3: Cross multiply
    463,881.92x = 694,422.18 × 419,529.56
  4. Step 4: Simplify right side
    463,881.92x = 291,330,628,157.53
  5. Step 5: Solve for x
    x = 291,330,628,157.53/463,881.92
  6. Step 6: Final answer
    x = 628,027.56

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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.