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Finding the Fourth Proportional to 321,412.27, 482,208.68 and 119,005.33

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Solution

The fourth proportional to 321,412.27, 482,208.68 and 119,005.33 is: 178,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,412.27 : 482,208.68 = 119,005.33 : x
  2. Step 2: Convert to fraction form
    321,412.27/482,208.68 = 119,005.33/x
  3. Step 3: Cross multiply
    321,412.27x = 482,208.68 × 119,005.33
  4. Step 4: Simplify right side
    321,412.27x = 57,385,403,092.26
  5. Step 5: Solve for x
    x = 57,385,403,092.26/321,412.27
  6. Step 6: Final answer
    x = 178,541.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.