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Finding the Fourth Proportional to 451,855.73, 677,310.68 and 152,232.80

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Solution

The fourth proportional to 451,855.73, 677,310.68 and 152,232.80 is: 228,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,855.73 : 677,310.68 = 152,232.80 : x
  2. Step 2: Convert to fraction form
    451,855.73/677,310.68 = 152,232.80/x
  3. Step 3: Cross multiply
    451,855.73x = 677,310.68 × 152,232.80
  4. Step 4: Simplify right side
    451,855.73x = 103,108,898,280.33
  5. Step 5: Solve for x
    x = 103,108,898,280.33/451,855.73
  6. Step 6: Final answer
    x = 228,189.86

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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.