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Finding the Fourth Proportional to 410,480.66, 566,498.32 and 229,227.60

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Solution

The fourth proportional to 410,480.66, 566,498.32 and 229,227.60 is: 316,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,480.66 : 566,498.32 = 229,227.60 : x
  2. Step 2: Convert to fraction form
    410,480.66/566,498.32 = 229,227.60/x
  3. Step 3: Cross multiply
    410,480.66x = 566,498.32 × 229,227.60
  4. Step 4: Simplify right side
    410,480.66x = 129,857,049,724.56
  5. Step 5: Solve for x
    x = 129,857,049,724.56/410,480.66
  6. Step 6: Final answer
    x = 316,353.64

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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.