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Finding the Fourth Proportional to 280,200.12, 386,818.86 and 216,394.68

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Solution

The fourth proportional to 280,200.12, 386,818.86 and 216,394.68 is: 298,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,200.12 : 386,818.86 = 216,394.68 : x
  2. Step 2: Convert to fraction form
    280,200.12/386,818.86 = 216,394.68/x
  3. Step 3: Cross multiply
    280,200.12x = 386,818.86 × 216,394.68
  4. Step 4: Simplify right side
    280,200.12x = 83,705,543,427.66
  5. Step 5: Solve for x
    x = 83,705,543,427.66/280,200.12
  6. Step 6: Final answer
    x = 298,734.86

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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.