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Finding the Fourth Proportional to 395,205.20, 593,196.60 and 195,750.80

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Solution

The fourth proportional to 395,205.20, 593,196.60 and 195,750.80 is: 293,818.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,205.20 : 593,196.60 = 195,750.80 : x
  2. Step 2: Convert to fraction form
    395,205.20/593,196.60 = 195,750.80/x
  3. Step 3: Cross multiply
    395,205.20x = 593,196.60 × 195,750.80
  4. Step 4: Simplify right side
    395,205.20x = 116,118,709,007.28
  5. Step 5: Solve for x
    x = 116,118,709,007.28/395,205.20
  6. Step 6: Final answer
    x = 293,818.78

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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.