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Finding the Fourth Proportional to 416,133.43, 574,660.82 and 393,463.88

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Solution

The fourth proportional to 416,133.43, 574,660.82 and 393,463.88 is: 543,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,133.43 : 574,660.82 = 393,463.88 : x
  2. Step 2: Convert to fraction form
    416,133.43/574,660.82 = 393,463.88/x
  3. Step 3: Cross multiply
    416,133.43x = 574,660.82 × 393,463.88
  4. Step 4: Simplify right side
    416,133.43x = 226,108,274,031.54
  5. Step 5: Solve for x
    x = 226,108,274,031.54/416,133.43
  6. Step 6: Final answer
    x = 543,355.23

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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.