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Finding the Fourth Proportional to 287,676.36, 396,984.24 and 180,304.38

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Solution

The fourth proportional to 287,676.36, 396,984.24 and 180,304.38 is: 248,814.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,676.36 : 396,984.24 = 180,304.38 : x
  2. Step 2: Convert to fraction form
    287,676.36/396,984.24 = 180,304.38/x
  3. Step 3: Cross multiply
    287,676.36x = 396,984.24 × 180,304.38
  4. Step 4: Simplify right side
    287,676.36x = 71,577,997,262.97
  5. Step 5: Solve for x
    x = 71,577,997,262.97/287,676.36
  6. Step 6: Final answer
    x = 248,814.32

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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.