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Finding the Fourth Proportional to 305,563.91, 421,669.64 and 167,742.81

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Solution

The fourth proportional to 305,563.91, 421,669.64 and 167,742.81 is: 231,480.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,563.91 : 421,669.64 = 167,742.81 : x
  2. Step 2: Convert to fraction form
    305,563.91/421,669.64 = 167,742.81/x
  3. Step 3: Cross multiply
    305,563.91x = 421,669.64 × 167,742.81
  4. Step 4: Simplify right side
    305,563.91x = 70,732,049,466.57
  5. Step 5: Solve for x
    x = 70,732,049,466.57/305,563.91
  6. Step 6: Final answer
    x = 231,480.38

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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.