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Finding the Fourth Proportional to 287,587.38, 396,611.59 and 180,166.80

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Solution

The fourth proportional to 287,587.38, 396,611.59 and 180,166.80 is: 248,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,587.38 : 396,611.59 = 180,166.80 : x
  2. Step 2: Convert to fraction form
    287,587.38/396,611.59 = 180,166.80/x
  3. Step 3: Cross multiply
    287,587.38x = 396,611.59 × 180,166.80
  4. Step 4: Simplify right side
    287,587.38x = 71,456,241,013.21
  5. Step 5: Solve for x
    x = 71,456,241,013.21/287,587.38
  6. Step 6: Final answer
    x = 248,467.93

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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.