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Finding the Fourth Proportional to 407,281.26, 610,676.25 and 182,600.94

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Solution

The fourth proportional to 407,281.26, 610,676.25 and 182,600.94 is: 273,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,281.26 : 610,676.25 = 182,600.94 : x
  2. Step 2: Convert to fraction form
    407,281.26/610,676.25 = 182,600.94/x
  3. Step 3: Cross multiply
    407,281.26x = 610,676.25 × 182,600.94
  4. Step 4: Simplify right side
    407,281.26x = 111,510,057,285.68
  5. Step 5: Solve for x
    x = 111,510,057,285.68/407,281.26
  6. Step 6: Final answer
    x = 273,791.28

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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.