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Finding the Fourth Proportional to 321,739.68, 444,021.78 and 185,779.38

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Solution

The fourth proportional to 321,739.68, 444,021.78 and 185,779.38 is: 256,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,739.68 : 444,021.78 = 185,779.38 : x
  2. Step 2: Convert to fraction form
    321,739.68/444,021.78 = 185,779.38/x
  3. Step 3: Cross multiply
    321,739.68x = 444,021.78 × 185,779.38
  4. Step 4: Simplify right side
    321,739.68x = 82,490,090,994.90
  5. Step 5: Solve for x
    x = 82,490,090,994.90/321,739.68
  6. Step 6: Final answer
    x = 256,387.68

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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.