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Finding the Fourth Proportional to 446,712.85, 670,194.34 and 180,660.20

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Solution

The fourth proportional to 446,712.85, 670,194.34 and 180,660.20 is: 271,040.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,712.85 : 670,194.34 = 180,660.20 : x
  2. Step 2: Convert to fraction form
    446,712.85/670,194.34 = 180,660.20/x
  3. Step 3: Cross multiply
    446,712.85x = 670,194.34 × 180,660.20
  4. Step 4: Simplify right side
    446,712.85x = 121,077,439,700.65
  5. Step 5: Solve for x
    x = 121,077,439,700.65/446,712.85
  6. Step 6: Final answer
    x = 271,040.87

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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.