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Finding the Fourth Proportional to 279,289.14, 385,447.38 and 164,604.71

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Solution

The fourth proportional to 279,289.14, 385,447.38 and 164,604.71 is: 227,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,289.14 : 385,447.38 = 164,604.71 : x
  2. Step 2: Convert to fraction form
    279,289.14/385,447.38 = 164,604.71/x
  3. Step 3: Cross multiply
    279,289.14x = 385,447.38 × 164,604.71
  4. Step 4: Simplify right side
    279,289.14x = 63,446,452,383.37
  5. Step 5: Solve for x
    x = 63,446,452,383.37/279,289.14
  6. Step 6: Final answer
    x = 227,171.21

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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.