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Finding the Fourth Proportional to 451,910.92, 677,040.16 and 211,583.92

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Solution

The fourth proportional to 451,910.92, 677,040.16 and 211,583.92 is: 316,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,910.92 : 677,040.16 = 211,583.92 : x
  2. Step 2: Convert to fraction form
    451,910.92/677,040.16 = 211,583.92/x
  3. Step 3: Cross multiply
    451,910.92x = 677,040.16 × 211,583.92
  4. Step 4: Simplify right side
    451,910.92x = 143,250,811,050.23
  5. Step 5: Solve for x
    x = 143,250,811,050.23/451,910.92
  6. Step 6: Final answer
    x = 316,989.05

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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.