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Finding the Fourth Proportional to 446,746.80, 670,245.30 and 180,694.20

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Solution

The fourth proportional to 446,746.80, 670,245.30 and 180,694.20 is: 271,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,746.80 : 670,245.30 = 180,694.20 : x
  2. Step 2: Convert to fraction form
    446,746.80/670,245.30 = 180,694.20/x
  3. Step 3: Cross multiply
    446,746.80x = 670,245.30 × 180,694.20
  4. Step 4: Simplify right side
    446,746.80x = 121,109,438,287.26
  5. Step 5: Solve for x
    x = 121,109,438,287.26/446,746.80
  6. Step 6: Final answer
    x = 271,091.90

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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.