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Finding the Fourth Proportional to 397,835.58, 549,027 and 216,562.44

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Solution

The fourth proportional to 397,835.58, 549,027 and 216,562.44 is: 298,863.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,835.58 : 549,027 = 216,562.44 : x
  2. Step 2: Convert to fraction form
    397,835.58/549,027 = 216,562.44/x
  3. Step 3: Cross multiply
    397,835.58x = 549,027 × 216,562.44
  4. Step 4: Simplify right side
    397,835.58x = 118,898,626,745.88
  5. Step 5: Solve for x
    x = 118,898,626,745.88/397,835.58
  6. Step 6: Final answer
    x = 298,863.73

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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.