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Finding the Fourth Proportional to 521,016.30, 781,116.21 and 205,709.22

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Solution

The fourth proportional to 521,016.30, 781,116.21 and 205,709.22 is: 308,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,016.30 : 781,116.21 = 205,709.22 : x
  2. Step 2: Convert to fraction form
    521,016.30/781,116.21 = 205,709.22/x
  3. Step 3: Cross multiply
    521,016.30x = 781,116.21 × 205,709.22
  4. Step 4: Simplify right side
    521,016.30x = 160,682,806,288.46
  5. Step 5: Solve for x
    x = 160,682,806,288.46/521,016.30
  6. Step 6: Final answer
    x = 308,402.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.