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Finding the Fourth Proportional to 304,786.92, 457,223.22 and 127,253.52

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Solution

The fourth proportional to 304,786.92, 457,223.22 and 127,253.52 is: 190,898.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,786.92 : 457,223.22 = 127,253.52 : x
  2. Step 2: Convert to fraction form
    304,786.92/457,223.22 = 127,253.52/x
  3. Step 3: Cross multiply
    304,786.92x = 457,223.22 × 127,253.52
  4. Step 4: Simplify right side
    304,786.92x = 58,183,264,170.73
  5. Step 5: Solve for x
    x = 58,183,264,170.73/304,786.92
  6. Step 6: Final answer
    x = 190,898.17

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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.