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Finding the Fourth Proportional to 588,706.13, 883,190.88 and 214,729.13

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Solution

The fourth proportional to 588,706.13, 883,190.88 and 214,729.13 is: 322,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,706.13 : 883,190.88 = 214,729.13 : x
  2. Step 2: Convert to fraction form
    588,706.13/883,190.88 = 214,729.13/x
  3. Step 3: Cross multiply
    588,706.13x = 883,190.88 × 214,729.13
  4. Step 4: Simplify right side
    588,706.13x = 189,646,809,286.33
  5. Step 5: Solve for x
    x = 189,646,809,286.33/588,706.13
  6. Step 6: Final answer
    x = 322,141.73

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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.