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Finding the Fourth Proportional to 312,954.96, 468,251.46 and 179,897.88

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Solution

The fourth proportional to 312,954.96, 468,251.46 and 179,897.88 is: 269,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,954.96 : 468,251.46 = 179,897.88 : x
  2. Step 2: Convert to fraction form
    312,954.96/468,251.46 = 179,897.88/x
  3. Step 3: Cross multiply
    312,954.96x = 468,251.46 × 179,897.88
  4. Step 4: Simplify right side
    312,954.96x = 84,237,444,960.90
  5. Step 5: Solve for x
    x = 84,237,444,960.90/312,954.96
  6. Step 6: Final answer
    x = 269,167.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.