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Finding the Fourth Proportional to 304,761.60, 457,660.80 and 225,964.80

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Solution

The fourth proportional to 304,761.60, 457,660.80 and 225,964.80 is: 339,331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,761.60 : 457,660.80 = 225,964.80 : x
  2. Step 2: Convert to fraction form
    304,761.60/457,660.80 = 225,964.80/x
  3. Step 3: Cross multiply
    304,761.60x = 457,660.80 × 225,964.80
  4. Step 4: Simplify right side
    304,761.60x = 103,415,231,139.84
  5. Step 5: Solve for x
    x = 103,415,231,139.84/304,761.60
  6. Step 6: Final answer
    x = 339,331.57

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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.