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Finding the Fourth Proportional to 321,817.44, 444,106.56 and 178,577.04

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Solution

The fourth proportional to 321,817.44, 444,106.56 and 178,577.04 is: 246,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,817.44 : 444,106.56 = 178,577.04 : x
  2. Step 2: Convert to fraction form
    321,817.44/444,106.56 = 178,577.04/x
  3. Step 3: Cross multiply
    321,817.44x = 444,106.56 × 178,577.04
  4. Step 4: Simplify right side
    321,817.44x = 79,307,234,929.38
  5. Step 5: Solve for x
    x = 79,307,234,929.38/321,817.44
  6. Step 6: Final answer
    x = 246,435.48

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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.