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Finding the Fourth Proportional to 463,910.82, 694,684.71 and 305,659.62

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Solution

The fourth proportional to 463,910.82, 694,684.71 and 305,659.62 is: 457,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,910.82 : 694,684.71 = 305,659.62 : x
  2. Step 2: Convert to fraction form
    463,910.82/694,684.71 = 305,659.62/x
  3. Step 3: Cross multiply
    463,910.82x = 694,684.71 × 305,659.62
  4. Step 4: Simplify right side
    463,910.82x = 212,337,064,478.41
  5. Step 5: Solve for x
    x = 212,337,064,478.41/463,910.82
  6. Step 6: Final answer
    x = 457,710.96

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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.