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Finding the Fourth Proportional to 446,834.28, 670,728.90 and 180,768.72

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Solution

The fourth proportional to 446,834.28, 670,728.90 and 180,768.72 is: 271,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,834.28 : 670,728.90 = 180,768.72 : x
  2. Step 2: Convert to fraction form
    446,834.28/670,728.90 = 180,768.72/x
  3. Step 3: Cross multiply
    446,834.28x = 670,728.90 × 180,768.72
  4. Step 4: Simplify right side
    446,834.28x = 121,246,804,720.01
  5. Step 5: Solve for x
    x = 121,246,804,720.01/446,834.28
  6. Step 6: Final answer
    x = 271,346.25

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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.