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Finding the Fourth Proportional to 322,872, 445,567.44 and 177,694.49

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Solution

The fourth proportional to 322,872, 445,567.44 and 177,694.49 is: 245,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,872 : 445,567.44 = 177,694.49 : x
  2. Step 2: Convert to fraction form
    322,872/445,567.44 = 177,694.49/x
  3. Step 3: Cross multiply
    322,872x = 445,567.44 × 177,694.49
  4. Step 4: Simplify right side
    322,872x = 79,174,880,125.32
  5. Step 5: Solve for x
    x = 79,174,880,125.32/322,872
  6. Step 6: Final answer
    x = 245,220.65

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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.