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Finding the Fourth Proportional to 541,761.70, 811,895.20 and 408,495.49

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Solution

The fourth proportional to 541,761.70, 811,895.20 and 408,495.49 is: 612,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,761.70 : 811,895.20 = 408,495.49 : x
  2. Step 2: Convert to fraction form
    541,761.70/811,895.20 = 408,495.49/x
  3. Step 3: Cross multiply
    541,761.70x = 811,895.20 × 408,495.49
  4. Step 4: Simplify right side
    541,761.70x = 331,655,527,552.65
  5. Step 5: Solve for x
    x = 331,655,527,552.65/541,761.70
  6. Step 6: Final answer
    x = 612,179.72

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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.