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Finding the Fourth Proportional to 321,771.96, 444,109.86 and 185,828.04

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Solution

The fourth proportional to 321,771.96, 444,109.86 and 185,828.04 is: 256,479.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,771.96 : 444,109.86 = 185,828.04 : x
  2. Step 2: Convert to fraction form
    321,771.96/444,109.86 = 185,828.04/x
  3. Step 3: Cross multiply
    321,771.96x = 444,109.86 × 185,828.04
  4. Step 4: Simplify right side
    321,771.96x = 82,528,064,828.47
  5. Step 5: Solve for x
    x = 82,528,064,828.47/321,771.96
  6. Step 6: Final answer
    x = 256,479.98

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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.