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Finding the Fourth Proportional to 299,684.50, 413,576.49 and 172,359.94

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Solution

The fourth proportional to 299,684.50, 413,576.49 and 172,359.94 is: 237,863.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,684.50 : 413,576.49 = 172,359.94 : x
  2. Step 2: Convert to fraction form
    299,684.50/413,576.49 = 172,359.94/x
  3. Step 3: Cross multiply
    299,684.50x = 413,576.49 × 172,359.94
  4. Step 4: Simplify right side
    299,684.50x = 71,284,019,001.81
  5. Step 5: Solve for x
    x = 71,284,019,001.81/299,684.50
  6. Step 6: Final answer
    x = 237,863.55

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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.