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Finding the Fourth Proportional to 320,952.44, 442,878.60 and 177,676.60

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Solution

The fourth proportional to 320,952.44, 442,878.60 and 177,676.60 is: 245,173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,952.44 : 442,878.60 = 177,676.60 : x
  2. Step 2: Convert to fraction form
    320,952.44/442,878.60 = 177,676.60/x
  3. Step 3: Cross multiply
    320,952.44x = 442,878.60 × 177,676.60
  4. Step 4: Simplify right side
    320,952.44x = 78,689,163,860.76
  5. Step 5: Solve for x
    x = 78,689,163,860.76/320,952.44
  6. Step 6: Final answer
    x = 245,173.91

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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.