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Finding the Fourth Proportional to 287,586.38, 396,610.21 and 180,165.80

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Solution

The fourth proportional to 287,586.38, 396,610.21 and 180,165.80 is: 248,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,586.38 : 396,610.21 = 180,165.80 : x
  2. Step 2: Convert to fraction form
    287,586.38/396,610.21 = 180,165.80/x
  3. Step 3: Cross multiply
    287,586.38x = 396,610.21 × 180,165.80
  4. Step 4: Simplify right side
    287,586.38x = 71,455,595,772.82
  5. Step 5: Solve for x
    x = 71,455,595,772.82/287,586.38
  6. Step 6: Final answer
    x = 248,466.55

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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.