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Finding the Fourth Proportional to 304,761.44, 457,215.15 and 127,169.66

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Solution

The fourth proportional to 304,761.44, 457,215.15 and 127,169.66 is: 190,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,761.44 : 457,215.15 = 127,169.66 : x
  2. Step 2: Convert to fraction form
    304,761.44/457,215.15 = 127,169.66/x
  3. Step 3: Cross multiply
    304,761.44x = 457,215.15 × 127,169.66
  4. Step 4: Simplify right side
    304,761.44x = 58,143,895,172.35
  5. Step 5: Solve for x
    x = 58,143,895,172.35/304,761.44
  6. Step 6: Final answer
    x = 190,784.95

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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.