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Finding the Fourth Proportional to 551,113.26, 826,853.96 and 214,164.90

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Solution

The fourth proportional to 551,113.26, 826,853.96 and 214,164.90 is: 321,318.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,113.26 : 826,853.96 = 214,164.90 : x
  2. Step 2: Convert to fraction form
    551,113.26/826,853.96 = 214,164.90/x
  3. Step 3: Cross multiply
    551,113.26x = 826,853.96 × 214,164.90
  4. Step 4: Simplify right side
    551,113.26x = 177,083,095,658.00
  5. Step 5: Solve for x
    x = 177,083,095,658.00/551,113.26
  6. Step 6: Final answer
    x = 321,318.88

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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.