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Finding the Fourth Proportional to 467,682.64, 701,627.76 and 218,228.56

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Solution

The fourth proportional to 467,682.64, 701,627.76 and 218,228.56 is: 327,391.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,682.64 : 701,627.76 = 218,228.56 : x
  2. Step 2: Convert to fraction form
    467,682.64/701,627.76 = 218,228.56/x
  3. Step 3: Cross multiply
    467,682.64x = 701,627.76 × 218,228.56
  4. Step 4: Simplify right side
    467,682.64x = 153,115,215,720.83
  5. Step 5: Solve for x
    x = 153,115,215,720.83/467,682.64
  6. Step 6: Final answer
    x = 327,391.27

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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.