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Finding the Fourth Proportional to 590,521.50, 814,945.49 and 332,415.11

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Solution

The fourth proportional to 590,521.50, 814,945.49 and 332,415.11 is: 458,747.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,521.50 : 814,945.49 = 332,415.11 : x
  2. Step 2: Convert to fraction form
    590,521.50/814,945.49 = 332,415.11/x
  3. Step 3: Cross multiply
    590,521.50x = 814,945.49 × 332,415.11
  4. Step 4: Simplify right side
    590,521.50x = 270,900,188,965.55
  5. Step 5: Solve for x
    x = 270,900,188,965.55/590,521.50
  6. Step 6: Final answer
    x = 458,747.38

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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.