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Finding the Fourth Proportional to 304,897.78, 457,260.24 and 192,409.48

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Solution

The fourth proportional to 304,897.78, 457,260.24 and 192,409.48 is: 288,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,897.78 : 457,260.24 = 192,409.48 : x
  2. Step 2: Convert to fraction form
    304,897.78/457,260.24 = 192,409.48/x
  3. Step 3: Cross multiply
    304,897.78x = 457,260.24 × 192,409.48
  4. Step 4: Simplify right side
    304,897.78x = 87,981,205,003.08
  5. Step 5: Solve for x
    x = 87,981,205,003.08/304,897.78
  6. Step 6: Final answer
    x = 288,559.68

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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.