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Finding the Fourth Proportional to 588,713.14, 883,201.38 and 214,736.14

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Solution

The fourth proportional to 588,713.14, 883,201.38 and 214,736.14 is: 322,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,713.14 : 883,201.38 = 214,736.14 : x
  2. Step 2: Convert to fraction form
    588,713.14/883,201.38 = 214,736.14/x
  3. Step 3: Cross multiply
    588,713.14x = 883,201.38 × 214,736.14
  4. Step 4: Simplify right side
    588,713.14x = 189,655,255,183.87
  5. Step 5: Solve for x
    x = 189,655,255,183.87/588,713.14
  6. Step 6: Final answer
    x = 322,152.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.