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Finding the Fourth Proportional to 396,077.52, 594,271.80 and 174,306

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Solution

The fourth proportional to 396,077.52, 594,271.80 and 174,306 is: 261,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,077.52 : 594,271.80 = 174,306 : x
  2. Step 2: Convert to fraction form
    396,077.52/594,271.80 = 174,306/x
  3. Step 3: Cross multiply
    396,077.52x = 594,271.80 × 174,306
  4. Step 4: Simplify right side
    396,077.52x = 103,585,140,370.80
  5. Step 5: Solve for x
    x = 103,585,140,370.80/396,077.52
  6. Step 6: Final answer
    x = 261,527.44

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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.