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Finding the Fourth Proportional to 435,614.50, 653,589.26 and 210,957.66

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Solution

The fourth proportional to 435,614.50, 653,589.26 and 210,957.66 is: 316,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,614.50 : 653,589.26 = 210,957.66 : x
  2. Step 2: Convert to fraction form
    435,614.50/653,589.26 = 210,957.66/x
  3. Step 3: Cross multiply
    435,614.50x = 653,589.26 × 210,957.66
  4. Step 4: Simplify right side
    435,614.50x = 137,879,660,890.73
  5. Step 5: Solve for x
    x = 137,879,660,890.73/435,614.50
  6. Step 6: Final answer
    x = 316,517.61

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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.