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Finding the Fourth Proportional to 446,748.01, 670,120.56 and 180,505.33

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Solution

The fourth proportional to 446,748.01, 670,120.56 and 180,505.33 is: 270,757.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,748.01 : 670,120.56 = 180,505.33 : x
  2. Step 2: Convert to fraction form
    446,748.01/670,120.56 = 180,505.33/x
  3. Step 3: Cross multiply
    446,748.01x = 670,120.56 × 180,505.33
  4. Step 4: Simplify right side
    446,748.01x = 120,960,331,147.28
  5. Step 5: Solve for x
    x = 120,960,331,147.28/446,748.01
  6. Step 6: Final answer
    x = 270,757.40

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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.