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Finding the Fourth Proportional to 414,133.97, 621,214.82 and 114,589.38

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Solution

The fourth proportional to 414,133.97, 621,214.82 and 114,589.38 is: 171,887.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,133.97 : 621,214.82 = 114,589.38 : x
  2. Step 2: Convert to fraction form
    414,133.97/621,214.82 = 114,589.38/x
  3. Step 3: Cross multiply
    414,133.97x = 621,214.82 × 114,589.38
  4. Step 4: Simplify right side
    414,133.97x = 71,184,623,256.93
  5. Step 5: Solve for x
    x = 71,184,623,256.93/414,133.97
  6. Step 6: Final answer
    x = 171,887.91

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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.