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Finding the Fourth Proportional to 308,682.46, 461,760.54 and 233,241.82

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Solution

The fourth proportional to 308,682.46, 461,760.54 and 233,241.82 is: 348,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,682.46 : 461,760.54 = 233,241.82 : x
  2. Step 2: Convert to fraction form
    308,682.46/461,760.54 = 233,241.82/x
  3. Step 3: Cross multiply
    308,682.46x = 461,760.54 × 233,241.82
  4. Step 4: Simplify right side
    308,682.46x = 107,701,868,753.78
  5. Step 5: Solve for x
    x = 107,701,868,753.78/308,682.46
  6. Step 6: Final answer
    x = 348,908.29

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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.