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Finding the Fourth Proportional to 264,274.84, 396,472.78 and 114,540.28

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Solution

The fourth proportional to 264,274.84, 396,472.78 and 114,540.28 is: 171,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,274.84 : 396,472.78 = 114,540.28 : x
  2. Step 2: Convert to fraction form
    264,274.84/396,472.78 = 114,540.28/x
  3. Step 3: Cross multiply
    264,274.84x = 396,472.78 × 114,540.28
  4. Step 4: Simplify right side
    264,274.84x = 45,412,103,233.58
  5. Step 5: Solve for x
    x = 45,412,103,233.58/264,274.84
  6. Step 6: Final answer
    x = 171,836.65

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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.