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Finding the Fourth Proportional to 320,495.42, 442,419.84 and 199,696.38

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Solution

The fourth proportional to 320,495.42, 442,419.84 and 199,696.38 is: 275,665.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,495.42 : 442,419.84 = 199,696.38 : x
  2. Step 2: Convert to fraction form
    320,495.42/442,419.84 = 199,696.38/x
  3. Step 3: Cross multiply
    320,495.42x = 442,419.84 × 199,696.38
  4. Step 4: Simplify right side
    320,495.42x = 88,349,640,488.18
  5. Step 5: Solve for x
    x = 88,349,640,488.18/320,495.42
  6. Step 6: Final answer
    x = 275,665.84

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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.