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Finding the Fourth Proportional to 277,617.62, 383,175.56 and 180,650.59

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Solution

The fourth proportional to 277,617.62, 383,175.56 and 180,650.59 is: 249,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,617.62 : 383,175.56 = 180,650.59 : x
  2. Step 2: Convert to fraction form
    277,617.62/383,175.56 = 180,650.59/x
  3. Step 3: Cross multiply
    277,617.62x = 383,175.56 × 180,650.59
  4. Step 4: Simplify right side
    277,617.62x = 69,220,890,481.27
  5. Step 5: Solve for x
    x = 69,220,890,481.27/277,617.62
  6. Step 6: Final answer
    x = 249,338.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.