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Finding the Fourth Proportional to 432,227.88, 647,898.42 and 165,916.68

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Solution

The fourth proportional to 432,227.88, 647,898.42 and 165,916.68 is: 248,704.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,227.88 : 647,898.42 = 165,916.68 : x
  2. Step 2: Convert to fraction form
    432,227.88/647,898.42 = 165,916.68/x
  3. Step 3: Cross multiply
    432,227.88x = 647,898.42 × 165,916.68
  4. Step 4: Simplify right side
    432,227.88x = 107,497,154,823.65
  5. Step 5: Solve for x
    x = 107,497,154,823.65/432,227.88
  6. Step 6: Final answer
    x = 248,704.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.