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Finding the Fourth Proportional to 414,204.66, 620,310.51 and 236,171.91

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Solution

The fourth proportional to 414,204.66, 620,310.51 and 236,171.91 is: 353,689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,204.66 : 620,310.51 = 236,171.91 : x
  2. Step 2: Convert to fraction form
    414,204.66/620,310.51 = 236,171.91/x
  3. Step 3: Cross multiply
    414,204.66x = 620,310.51 × 236,171.91
  4. Step 4: Simplify right side
    414,204.66x = 146,499,917,939.77
  5. Step 5: Solve for x
    x = 146,499,917,939.77/414,204.66
  6. Step 6: Final answer
    x = 353,689.69

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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.