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Finding the Fourth Proportional to 496,734, 745,212.06 and 181,190.90

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Solution

The fourth proportional to 496,734, 745,212.06 and 181,190.90 is: 271,826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,734 : 745,212.06 = 181,190.90 : x
  2. Step 2: Convert to fraction form
    496,734/745,212.06 = 181,190.90/x
  3. Step 3: Cross multiply
    496,734x = 745,212.06 × 181,190.90
  4. Step 4: Simplify right side
    496,734x = 135,025,640,116.19
  5. Step 5: Solve for x
    x = 135,025,640,116.19/496,734
  6. Step 6: Final answer
    x = 271,826.85

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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.