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Finding the Fourth Proportional to 462,817.80, 694,277.73 and 147,200.90

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Solution

The fourth proportional to 462,817.80, 694,277.73 and 147,200.90 is: 220,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,817.80 : 694,277.73 = 147,200.90 : x
  2. Step 2: Convert to fraction form
    462,817.80/694,277.73 = 147,200.90/x
  3. Step 3: Cross multiply
    462,817.80x = 694,277.73 × 147,200.90
  4. Step 4: Simplify right side
    462,817.80x = 102,198,303,234.57
  5. Step 5: Solve for x
    x = 102,198,303,234.57/462,817.80
  6. Step 6: Final answer
    x = 220,817.57

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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.