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Finding the Fourth Proportional to 496,835.44, 745,265.42 and 181,292.28

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Solution

The fourth proportional to 496,835.44, 745,265.42 and 181,292.28 is: 271,942.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,835.44 : 745,265.42 = 181,292.28 : x
  2. Step 2: Convert to fraction form
    496,835.44/745,265.42 = 181,292.28/x
  3. Step 3: Cross multiply
    496,835.44x = 745,265.42 × 181,292.28
  4. Step 4: Simplify right side
    496,835.44x = 135,110,867,196.96
  5. Step 5: Solve for x
    x = 135,110,867,196.96/496,835.44
  6. Step 6: Final answer
    x = 271,942.89

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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.