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Finding the Fourth Proportional to 417,999.15, 576,842.21 and 227,013.91

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Solution

The fourth proportional to 417,999.15, 576,842.21 and 227,013.91 is: 313,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,999.15 : 576,842.21 = 227,013.91 : x
  2. Step 2: Convert to fraction form
    417,999.15/576,842.21 = 227,013.91/x
  3. Step 3: Cross multiply
    417,999.15x = 576,842.21 × 227,013.91
  4. Step 4: Simplify right side
    417,999.15x = 130,951,204,670.57
  5. Step 5: Solve for x
    x = 130,951,204,670.57/417,999.15
  6. Step 6: Final answer
    x = 313,281.03

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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.