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Finding the Fourth Proportional to 417,999.26, 576,842.37 and 227,014.02

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Solution

The fourth proportional to 417,999.26, 576,842.37 and 227,014.02 is: 313,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,999.26 : 576,842.37 = 227,014.02 : x
  2. Step 2: Convert to fraction form
    417,999.26/576,842.37 = 227,014.02/x
  3. Step 3: Cross multiply
    417,999.26x = 576,842.37 × 227,014.02
  4. Step 4: Simplify right side
    417,999.26x = 130,951,301,300.75
  5. Step 5: Solve for x
    x = 130,951,301,300.75/417,999.26
  6. Step 6: Final answer
    x = 313,281.18

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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.