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Finding the Fourth Proportional to 417,608.75, 576,301.62 and 226,622.09

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Solution

The fourth proportional to 417,608.75, 576,301.62 and 226,622.09 is: 312,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,608.75 : 576,301.62 = 226,622.09 : x
  2. Step 2: Convert to fraction form
    417,608.75/576,301.62 = 226,622.09/x
  3. Step 3: Cross multiply
    417,608.75x = 576,301.62 × 226,622.09
  4. Step 4: Simplify right side
    417,608.75x = 130,602,674,713.28
  5. Step 5: Solve for x
    x = 130,602,674,713.28/417,608.75
  6. Step 6: Final answer
    x = 312,739.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.