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Finding the Fourth Proportional to 397,827.82, 549,014 and 216,551.44

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Solution

The fourth proportional to 397,827.82, 549,014 and 216,551.44 is: 298,847.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,827.82 : 549,014 = 216,551.44 : x
  2. Step 2: Convert to fraction form
    397,827.82/549,014 = 216,551.44/x
  3. Step 3: Cross multiply
    397,827.82x = 549,014 × 216,551.44
  4. Step 4: Simplify right side
    397,827.82x = 118,889,772,280.16
  5. Step 5: Solve for x
    x = 118,889,772,280.16/397,827.82
  6. Step 6: Final answer
    x = 298,847.31

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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.