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Finding the Fourth Proportional to 414,383.76, 621,514.13 and 114,833.11

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Solution

The fourth proportional to 414,383.76, 621,514.13 and 114,833.11 is: 172,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,383.76 : 621,514.13 = 114,833.11 : x
  2. Step 2: Convert to fraction form
    414,383.76/621,514.13 = 114,833.11/x
  3. Step 3: Cross multiply
    414,383.76x = 621,514.13 × 114,833.11
  4. Step 4: Simplify right side
    414,383.76x = 71,370,400,456.84
  5. Step 5: Solve for x
    x = 71,370,400,456.84/414,383.76
  6. Step 6: Final answer
    x = 172,232.62

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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.