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Finding the Fourth Proportional to 451,854.67, 677,309.10 and 152,231.73

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Solution

The fourth proportional to 451,854.67, 677,309.10 and 152,231.73 is: 228,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,854.67 : 677,309.10 = 152,231.73 : x
  2. Step 2: Convert to fraction form
    451,854.67/677,309.10 = 152,231.73/x
  3. Step 3: Cross multiply
    451,854.67x = 677,309.10 × 152,231.73
  4. Step 4: Simplify right side
    451,854.67x = 103,107,936,037.74
  5. Step 5: Solve for x
    x = 103,107,936,037.74/451,854.67
  6. Step 6: Final answer
    x = 228,188.27

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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.