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Finding the Fourth Proportional to 442,414.50, 663,624.27 and 109,990.50

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Solution

The fourth proportional to 442,414.50, 663,624.27 and 109,990.50 is: 164,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,414.50 : 663,624.27 = 109,990.50 : x
  2. Step 2: Convert to fraction form
    442,414.50/663,624.27 = 109,990.50/x
  3. Step 3: Cross multiply
    442,414.50x = 663,624.27 × 109,990.50
  4. Step 4: Simplify right side
    442,414.50x = 72,992,365,269.44
  5. Step 5: Solve for x
    x = 72,992,365,269.44/442,414.50
  6. Step 6: Final answer
    x = 164,986.38

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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.