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Finding the Fourth Proportional to 432,011.48, 647,942.49 and 195,299.10

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Solution

The fourth proportional to 432,011.48, 647,942.49 and 195,299.10 is: 292,914.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,011.48 : 647,942.49 = 195,299.10 : x
  2. Step 2: Convert to fraction form
    432,011.48/647,942.49 = 195,299.10/x
  3. Step 3: Cross multiply
    432,011.48x = 647,942.49 × 195,299.10
  4. Step 4: Simplify right side
    432,011.48x = 126,542,585,148.76
  5. Step 5: Solve for x
    x = 126,542,585,148.76/432,011.48
  6. Step 6: Final answer
    x = 292,914.87

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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.