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Finding the Fourth Proportional to 590,517.74, 814,940.29 and 332,411.34

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Solution

The fourth proportional to 590,517.74, 814,940.29 and 332,411.34 is: 458,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,517.74 : 814,940.29 = 332,411.34 : x
  2. Step 2: Convert to fraction form
    590,517.74/814,940.29 = 332,411.34/x
  3. Step 3: Cross multiply
    590,517.74x = 814,940.29 × 332,411.34
  4. Step 4: Simplify right side
    590,517.74x = 270,895,397,290.43
  5. Step 5: Solve for x
    x = 270,895,397,290.43/590,517.74
  6. Step 6: Final answer
    x = 458,742.18

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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.