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Finding the Fourth Proportional to 304,822.81, 420,662.24 and 173,997.79

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Solution

The fourth proportional to 304,822.81, 420,662.24 and 173,997.79 is: 240,120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,822.81 : 420,662.24 = 173,997.79 : x
  2. Step 2: Convert to fraction form
    304,822.81/420,662.24 = 173,997.79/x
  3. Step 3: Cross multiply
    304,822.81x = 420,662.24 × 173,997.79
  4. Step 4: Simplify right side
    304,822.81x = 73,194,300,096.45
  5. Step 5: Solve for x
    x = 73,194,300,096.45/304,822.81
  6. Step 6: Final answer
    x = 240,120.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.