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Finding the Fourth Proportional to 386,220.96, 532,976.76 and 216,451.44

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Solution

The fourth proportional to 386,220.96, 532,976.76 and 216,451.44 is: 298,698.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,220.96 : 532,976.76 = 216,451.44 : x
  2. Step 2: Convert to fraction form
    386,220.96/532,976.76 = 216,451.44/x
  3. Step 3: Cross multiply
    386,220.96x = 532,976.76 × 216,451.44
  4. Step 4: Simplify right side
    386,220.96x = 115,363,587,188.53
  5. Step 5: Solve for x
    x = 115,363,587,188.53/386,220.96
  6. Step 6: Final answer
    x = 298,698.41

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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.