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Finding the Fourth Proportional to 321,865.82, 444,072.08 and 185,881.82

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Solution

The fourth proportional to 321,865.82, 444,072.08 and 185,881.82 is: 256,457.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,865.82 : 444,072.08 = 185,881.82 : x
  2. Step 2: Convert to fraction form
    321,865.82/444,072.08 = 185,881.82/x
  3. Step 3: Cross multiply
    321,865.82x = 444,072.08 × 185,881.82
  4. Step 4: Simplify right side
    321,865.82x = 82,544,926,441.59
  5. Step 5: Solve for x
    x = 82,544,926,441.59/321,865.82
  6. Step 6: Final answer
    x = 256,457.57

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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.