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Finding the Fourth Proportional to 395,429.80, 593,144.70 and 182,197.30

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Solution

The fourth proportional to 395,429.80, 593,144.70 and 182,197.30 is: 273,295.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,429.80 : 593,144.70 = 182,197.30 : x
  2. Step 2: Convert to fraction form
    395,429.80/593,144.70 = 182,197.30/x
  3. Step 3: Cross multiply
    395,429.80x = 593,144.70 × 182,197.30
  4. Step 4: Simplify right side
    395,429.80x = 108,069,362,849.31
  5. Step 5: Solve for x
    x = 108,069,362,849.31/395,429.80
  6. Step 6: Final answer
    x = 273,295.95

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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.