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Finding the Fourth Proportional to 321,779.76, 444,050.36 and 178,537.32

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Solution

The fourth proportional to 321,779.76, 444,050.36 and 178,537.32 is: 246,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,779.76 : 444,050.36 = 178,537.32 : x
  2. Step 2: Convert to fraction form
    321,779.76/444,050.36 = 178,537.32/x
  3. Step 3: Cross multiply
    321,779.76x = 444,050.36 × 178,537.32
  4. Step 4: Simplify right side
    321,779.76x = 79,279,561,219.44
  5. Step 5: Solve for x
    x = 79,279,561,219.44/321,779.76
  6. Step 6: Final answer
    x = 246,378.33

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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.