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Finding the Fourth Proportional to 397,909.58, 549,098.42 and 216,617.76

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Solution

The fourth proportional to 397,909.58, 549,098.42 and 216,617.76 is: 298,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,909.58 : 549,098.42 = 216,617.76 : x
  2. Step 2: Convert to fraction form
    397,909.58/549,098.42 = 216,617.76/x
  3. Step 3: Cross multiply
    397,909.58x = 549,098.42 × 216,617.76
  4. Step 4: Simplify right side
    397,909.58x = 118,944,469,759.94
  5. Step 5: Solve for x
    x = 118,944,469,759.94/397,909.58
  6. Step 6: Final answer
    x = 298,923.36

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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.