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Finding the Fourth Proportional to 304,822.80, 457,234.20 and 138,610.80

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Solution

The fourth proportional to 304,822.80, 457,234.20 and 138,610.80 is: 207,916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,822.80 : 457,234.20 = 138,610.80 : x
  2. Step 2: Convert to fraction form
    304,822.80/457,234.20 = 138,610.80/x
  3. Step 3: Cross multiply
    304,822.80x = 457,234.20 × 138,610.80
  4. Step 4: Simplify right side
    304,822.80x = 63,377,598,249.36
  5. Step 5: Solve for x
    x = 63,377,598,249.36/304,822.80
  6. Step 6: Final answer
    x = 207,916.20

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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.