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Finding the Fourth Proportional to 451,649.80, 677,474.70 and 185,273.20

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Solution

The fourth proportional to 451,649.80, 677,474.70 and 185,273.20 is: 277,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,649.80 : 677,474.70 = 185,273.20 : x
  2. Step 2: Convert to fraction form
    451,649.80/677,474.70 = 185,273.20/x
  3. Step 3: Cross multiply
    451,649.80x = 677,474.70 × 185,273.20
  4. Step 4: Simplify right side
    451,649.80x = 125,517,905,588.04
  5. Step 5: Solve for x
    x = 125,517,905,588.04/451,649.80
  6. Step 6: Final answer
    x = 277,909.80

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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.