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Finding the Fourth Proportional to 590,493.47, 814,906.83 and 332,387.07

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Solution

The fourth proportional to 590,493.47, 814,906.83 and 332,387.07 is: 458,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,493.47 : 814,906.83 = 332,387.07 : x
  2. Step 2: Convert to fraction form
    590,493.47/814,906.83 = 332,387.07/x
  3. Step 3: Cross multiply
    590,493.47x = 814,906.83 × 332,387.07
  4. Step 4: Simplify right side
    590,493.47x = 270,864,493,546.69
  5. Step 5: Solve for x
    x = 270,864,493,546.69/590,493.47
  6. Step 6: Final answer
    x = 458,708.70

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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.