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Finding the Fourth Proportional to 283,503.20, 425,910.90 and 194,929.70

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Solution

The fourth proportional to 283,503.20, 425,910.90 and 194,929.70 is: 292,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,503.20 : 425,910.90 = 194,929.70 : x
  2. Step 2: Convert to fraction form
    283,503.20/425,910.90 = 194,929.70/x
  3. Step 3: Cross multiply
    283,503.20x = 425,910.90 × 194,929.70
  4. Step 4: Simplify right side
    283,503.20x = 83,022,683,963.73
  5. Step 5: Solve for x
    x = 83,022,683,963.73/283,503.20
  6. Step 6: Final answer
    x = 292,845.67

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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.