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Finding the Fourth Proportional to 363,684.38, 545,513.81 and 110,954.66

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Solution

The fourth proportional to 363,684.38, 545,513.81 and 110,954.66 is: 166,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,684.38 : 545,513.81 = 110,954.66 : x
  2. Step 2: Convert to fraction form
    363,684.38/545,513.81 = 110,954.66/x
  3. Step 3: Cross multiply
    363,684.38x = 545,513.81 × 110,954.66
  4. Step 4: Simplify right side
    363,684.38x = 60,527,296,031.51
  5. Step 5: Solve for x
    x = 60,527,296,031.51/363,684.38
  6. Step 6: Final answer
    x = 166,428.09

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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.