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Finding the Fourth Proportional to 590,494.97, 814,908.90 and 332,388.57

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Solution

The fourth proportional to 590,494.97, 814,908.90 and 332,388.57 is: 458,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,494.97 : 814,908.90 = 332,388.57 : x
  2. Step 2: Convert to fraction form
    590,494.97/814,908.90 = 332,388.57/x
  3. Step 3: Cross multiply
    590,494.97x = 814,908.90 × 332,388.57
  4. Step 4: Simplify right side
    590,494.97x = 270,866,403,951.27
  5. Step 5: Solve for x
    x = 270,866,403,951.27/590,494.97
  6. Step 6: Final answer
    x = 458,710.77

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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.