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Finding the Fourth Proportional to 324,115.26, 447,303.84 and 178,949.04

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Solution

The fourth proportional to 324,115.26, 447,303.84 and 178,949.04 is: 246,963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,115.26 : 447,303.84 = 178,949.04 : x
  2. Step 2: Convert to fraction form
    324,115.26/447,303.84 = 178,949.04/x
  3. Step 3: Cross multiply
    324,115.26x = 447,303.84 × 178,949.04
  4. Step 4: Simplify right side
    324,115.26x = 80,044,592,756.31
  5. Step 5: Solve for x
    x = 80,044,592,756.31/324,115.26
  6. Step 6: Final answer
    x = 246,963.36

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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.