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Finding the Fourth Proportional to 590,057.10, 814,270.05 and 331,914.56

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Solution

The fourth proportional to 590,057.10, 814,270.05 and 331,914.56 is: 458,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,057.10 : 814,270.05 = 331,914.56 : x
  2. Step 2: Convert to fraction form
    590,057.10/814,270.05 = 331,914.56/x
  3. Step 3: Cross multiply
    590,057.10x = 814,270.05 × 331,914.56
  4. Step 4: Simplify right side
    590,057.10x = 270,268,081,295.58
  5. Step 5: Solve for x
    x = 270,268,081,295.58/590,057.10
  6. Step 6: Final answer
    x = 458,037.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.