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Finding the Fourth Proportional to 588,891.12, 883,351.20 and 214,914

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Solution

The fourth proportional to 588,891.12, 883,351.20 and 214,914 is: 322,376.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,891.12 : 883,351.20 = 214,914 : x
  2. Step 2: Convert to fraction form
    588,891.12/883,351.20 = 214,914/x
  3. Step 3: Cross multiply
    588,891.12x = 883,351.20 × 214,914
  4. Step 4: Simplify right side
    588,891.12x = 189,844,539,796.80
  5. Step 5: Solve for x
    x = 189,844,539,796.80/588,891.12
  6. Step 6: Final answer
    x = 322,376.30

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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.