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Finding the Fourth Proportional to 301,302.48, 415,796.28 and 165,338.72

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Solution

The fourth proportional to 301,302.48, 415,796.28 and 165,338.72 is: 228,166.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,302.48 : 415,796.28 = 165,338.72 : x
  2. Step 2: Convert to fraction form
    301,302.48/415,796.28 = 165,338.72/x
  3. Step 3: Cross multiply
    301,302.48x = 415,796.28 × 165,338.72
  4. Step 4: Simplify right side
    301,302.48x = 68,747,224,715.96
  5. Step 5: Solve for x
    x = 68,747,224,715.96/301,302.48
  6. Step 6: Final answer
    x = 228,166.81

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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.