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Finding the Fourth Proportional to 301,302.49, 415,796.29 and 165,338.71

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Solution

The fourth proportional to 301,302.49, 415,796.29 and 165,338.71 is: 228,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,302.49 : 415,796.29 = 165,338.71 : x
  2. Step 2: Convert to fraction form
    301,302.49/415,796.29 = 165,338.71/x
  3. Step 3: Cross multiply
    301,302.49x = 415,796.29 × 165,338.71
  4. Step 4: Simplify right side
    301,302.49x = 68,747,222,211.39
  5. Step 5: Solve for x
    x = 68,747,222,211.39/301,302.49
  6. Step 6: Final answer
    x = 228,166.79

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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.