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Finding the Fourth Proportional to 396,047.52, 594,226.80 and 174,276

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Solution

The fourth proportional to 396,047.52, 594,226.80 and 174,276 is: 261,482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,047.52 : 594,226.80 = 174,276 : x
  2. Step 2: Convert to fraction form
    396,047.52/594,226.80 = 174,276/x
  3. Step 3: Cross multiply
    396,047.52x = 594,226.80 × 174,276
  4. Step 4: Simplify right side
    396,047.52x = 103,559,469,796.80
  5. Step 5: Solve for x
    x = 103,559,469,796.80/396,047.52
  6. Step 6: Final answer
    x = 261,482.43

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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.