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Finding the Fourth Proportional to 304,052.92, 419,590.16 and 168,090.36

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Solution

The fourth proportional to 304,052.92, 419,590.16 and 168,090.36 is: 231,963.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,052.92 : 419,590.16 = 168,090.36 : x
  2. Step 2: Convert to fraction form
    304,052.92/419,590.16 = 168,090.36/x
  3. Step 3: Cross multiply
    304,052.92x = 419,590.16 × 168,090.36
  4. Step 4: Simplify right side
    304,052.92x = 70,529,061,046.86
  5. Step 5: Solve for x
    x = 70,529,061,046.86/304,052.92
  6. Step 6: Final answer
    x = 231,963.11

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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.