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Finding the Fourth Proportional to 323,842.87, 446,903.57 and 178,645.38

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Solution

The fourth proportional to 323,842.87, 446,903.57 and 178,645.38 is: 246,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,842.87 : 446,903.57 = 178,645.38 : x
  2. Step 2: Convert to fraction form
    323,842.87/446,903.57 = 178,645.38/x
  3. Step 3: Cross multiply
    323,842.87x = 446,903.57 × 178,645.38
  4. Step 4: Simplify right side
    323,842.87x = 79,837,258,086.01
  5. Step 5: Solve for x
    x = 79,837,258,086.01/323,842.87
  6. Step 6: Final answer
    x = 246,530.85

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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.