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Finding the Fourth Proportional to 558,633.94, 770,780.42 and 329,200.62

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Solution

The fourth proportional to 558,633.94, 770,780.42 and 329,200.62 is: 454,217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,633.94 : 770,780.42 = 329,200.62 : x
  2. Step 2: Convert to fraction form
    558,633.94/770,780.42 = 329,200.62/x
  3. Step 3: Cross multiply
    558,633.94x = 770,780.42 × 329,200.62
  4. Step 4: Simplify right side
    558,633.94x = 253,741,392,147.86
  5. Step 5: Solve for x
    x = 253,741,392,147.86/558,633.94
  6. Step 6: Final answer
    x = 454,217.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.