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Finding the Fourth Proportional to 296,576.84, 409,259.51 and 167,541.78

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Solution

The fourth proportional to 296,576.84, 409,259.51 and 167,541.78 is: 231,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,576.84 : 409,259.51 = 167,541.78 : x
  2. Step 2: Convert to fraction form
    296,576.84/409,259.51 = 167,541.78/x
  3. Step 3: Cross multiply
    296,576.84x = 409,259.51 × 167,541.78
  4. Step 4: Simplify right side
    296,576.84x = 68,568,065,949.62
  5. Step 5: Solve for x
    x = 68,568,065,949.62/296,576.84
  6. Step 6: Final answer
    x = 231,198.32

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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.