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Finding the Fourth Proportional to 451,852.67, 677,306.10 and 152,229.73

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Solution

The fourth proportional to 451,852.67, 677,306.10 and 152,229.73 is: 228,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,852.67 : 677,306.10 = 152,229.73 : x
  2. Step 2: Convert to fraction form
    451,852.67/677,306.10 = 152,229.73/x
  3. Step 3: Cross multiply
    451,852.67x = 677,306.10 × 152,229.73
  4. Step 4: Simplify right side
    451,852.67x = 103,106,124,730.35
  5. Step 5: Solve for x
    x = 103,106,124,730.35/451,852.67
  6. Step 6: Final answer
    x = 228,185.27

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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.