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Finding the Fourth Proportional to 414,173.52, 621,261.09 and 114,654.96

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Solution

The fourth proportional to 414,173.52, 621,261.09 and 114,654.96 is: 171,982.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,173.52 : 621,261.09 = 114,654.96 : x
  2. Step 2: Convert to fraction form
    414,173.52/621,261.09 = 114,654.96/x
  3. Step 3: Cross multiply
    414,173.52x = 621,261.09 × 114,654.96
  4. Step 4: Simplify right side
    414,173.52x = 71,230,665,423.51
  5. Step 5: Solve for x
    x = 71,230,665,423.51/414,173.52
  6. Step 6: Final answer
    x = 171,982.66

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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.