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Finding the Fourth Proportional to 590,087.04, 814,311.36 and 331,944.48

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Solution

The fourth proportional to 590,087.04, 814,311.36 and 331,944.48 is: 458,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,087.04 : 814,311.36 = 331,944.48 : x
  2. Step 2: Convert to fraction form
    590,087.04/814,311.36 = 331,944.48/x
  3. Step 3: Cross multiply
    590,087.04x = 814,311.36 × 331,944.48
  4. Step 4: Simplify right side
    590,087.04x = 270,306,160,953.29
  5. Step 5: Solve for x
    x = 270,306,160,953.29/590,087.04
  6. Step 6: Final answer
    x = 458,078.46

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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.