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Finding the Fourth Proportional to 496,082.80, 744,415.80 and 180,571.60

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Solution

The fourth proportional to 496,082.80, 744,415.80 and 180,571.60 is: 270,963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,082.80 : 744,415.80 = 180,571.60 : x
  2. Step 2: Convert to fraction form
    496,082.80/744,415.80 = 180,571.60/x
  3. Step 3: Cross multiply
    496,082.80x = 744,415.80 × 180,571.60
  4. Step 4: Simplify right side
    496,082.80x = 134,420,352,071.28
  5. Step 5: Solve for x
    x = 134,420,352,071.28/496,082.80
  6. Step 6: Final answer
    x = 270,963.54

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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.