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Finding the Fourth Proportional to 396,055.52, 594,238.80 and 174,284

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Solution

The fourth proportional to 396,055.52, 594,238.80 and 174,284 is: 261,494.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,055.52 : 594,238.80 = 174,284 : x
  2. Step 2: Convert to fraction form
    396,055.52/594,238.80 = 174,284/x
  3. Step 3: Cross multiply
    396,055.52x = 594,238.80 × 174,284
  4. Step 4: Simplify right side
    396,055.52x = 103,566,315,019.20
  5. Step 5: Solve for x
    x = 103,566,315,019.20/396,055.52
  6. Step 6: Final answer
    x = 261,494.44

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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.