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Finding the Fourth Proportional to 304,791.97, 457,218.03 and 105,086.07

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Solution

The fourth proportional to 304,791.97, 457,218.03 and 105,086.07 is: 157,639.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,791.97 : 457,218.03 = 105,086.07 : x
  2. Step 2: Convert to fraction form
    304,791.97/457,218.03 = 105,086.07/x
  3. Step 3: Cross multiply
    304,791.97x = 457,218.03 × 105,086.07
  4. Step 4: Simplify right side
    304,791.97x = 48,047,245,905.84
  5. Step 5: Solve for x
    x = 48,047,245,905.84/304,791.97
  6. Step 6: Final answer
    x = 157,639.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.