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Finding the Fourth Proportional to 433,324.05, 650,212.71 and 177,346.64

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Solution

The fourth proportional to 433,324.05, 650,212.71 and 177,346.64 is: 266,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,324.05 : 650,212.71 = 177,346.64 : x
  2. Step 2: Convert to fraction form
    433,324.05/650,212.71 = 177,346.64/x
  3. Step 3: Cross multiply
    433,324.05x = 650,212.71 × 177,346.64
  4. Step 4: Simplify right side
    433,324.05x = 115,313,039,403.79
  5. Step 5: Solve for x
    x = 115,313,039,403.79/433,324.05
  6. Step 6: Final answer
    x = 266,112.71

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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.