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Finding the Fourth Proportional to 410,769.11, 566,805.26 and 229,458.61

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Solution

The fourth proportional to 410,769.11, 566,805.26 and 229,458.61 is: 316,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,769.11 : 566,805.26 = 229,458.61 : x
  2. Step 2: Convert to fraction form
    410,769.11/566,805.26 = 229,458.61/x
  3. Step 3: Cross multiply
    410,769.11x = 566,805.26 × 229,458.61
  4. Step 4: Simplify right side
    410,769.11x = 130,058,347,100.29
  5. Step 5: Solve for x
    x = 130,058,347,100.29/410,769.11
  6. Step 6: Final answer
    x = 316,621.54

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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.