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Finding the Fourth Proportional to 418,046.94, 576,907.82 and 227,060.28

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Solution

The fourth proportional to 418,046.94, 576,907.82 and 227,060.28 is: 313,344.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,046.94 : 576,907.82 = 227,060.28 : x
  2. Step 2: Convert to fraction form
    418,046.94/576,907.82 = 227,060.28/x
  3. Step 3: Cross multiply
    418,046.94x = 576,907.82 × 227,060.28
  4. Step 4: Simplify right side
    418,046.94x = 130,992,850,859.56
  5. Step 5: Solve for x
    x = 130,992,850,859.56/418,046.94
  6. Step 6: Final answer
    x = 313,344.84

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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.