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Finding the Fourth Proportional to 395,616, 593,498.40 and 158,977.44

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Solution

The fourth proportional to 395,616, 593,498.40 and 158,977.44 is: 238,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,616 : 593,498.40 = 158,977.44 : x
  2. Step 2: Convert to fraction form
    395,616/593,498.40 = 158,977.44/x
  3. Step 3: Cross multiply
    395,616x = 593,498.40 × 158,977.44
  4. Step 4: Simplify right side
    395,616x = 94,352,856,276.10
  5. Step 5: Solve for x
    x = 94,352,856,276.10/395,616
  6. Step 6: Final answer
    x = 238,496.06

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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.