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Finding the Fourth Proportional to 300,553.78, 414,760.28 and 171,488.86

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Solution

The fourth proportional to 300,553.78, 414,760.28 and 171,488.86 is: 236,652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,553.78 : 414,760.28 = 171,488.86 : x
  2. Step 2: Convert to fraction form
    300,553.78/414,760.28 = 171,488.86/x
  3. Step 3: Cross multiply
    300,553.78x = 414,760.28 × 171,488.86
  4. Step 4: Simplify right side
    300,553.78x = 71,126,767,590.48
  5. Step 5: Solve for x
    x = 71,126,767,590.48/300,553.78
  6. Step 6: Final answer
    x = 236,652.38

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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.