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Finding the Fourth Proportional to 451,755.56, 677,596.41 and 152,229.51

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Solution

The fourth proportional to 451,755.56, 677,596.41 and 152,229.51 is: 228,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,755.56 : 677,596.41 = 152,229.51 : x
  2. Step 2: Convert to fraction form
    451,755.56/677,596.41 = 152,229.51/x
  3. Step 3: Cross multiply
    451,755.56x = 677,596.41 × 152,229.51
  4. Step 4: Simplify right side
    451,755.56x = 103,150,169,472.06
  5. Step 5: Solve for x
    x = 103,150,169,472.06/451,755.56
  6. Step 6: Final answer
    x = 228,331.82

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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.