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Finding the Fourth Proportional to 463,825.46, 639,796.22 and 306,660.84

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Solution

The fourth proportional to 463,825.46, 639,796.22 and 306,660.84 is: 423,004.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,825.46 : 639,796.22 = 306,660.84 : x
  2. Step 2: Convert to fraction form
    463,825.46/639,796.22 = 306,660.84/x
  3. Step 3: Cross multiply
    463,825.46x = 639,796.22 × 306,660.84
  4. Step 4: Simplify right side
    463,825.46x = 196,200,446,254.03
  5. Step 5: Solve for x
    x = 196,200,446,254.03/463,825.46
  6. Step 6: Final answer
    x = 423,004.91

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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.