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Finding the Fourth Proportional to 300,976.72, 415,060.50 and 180,098.80

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Solution

The fourth proportional to 300,976.72, 415,060.50 and 180,098.80 is: 248,364.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,976.72 : 415,060.50 = 180,098.80 : x
  2. Step 2: Convert to fraction form
    300,976.72/415,060.50 = 180,098.80/x
  3. Step 3: Cross multiply
    300,976.72x = 415,060.50 × 180,098.80
  4. Step 4: Simplify right side
    300,976.72x = 74,751,897,977.40
  5. Step 5: Solve for x
    x = 74,751,897,977.40/300,976.72
  6. Step 6: Final answer
    x = 248,364.39

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