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Finding the Fourth Proportional to 219,025.60, 328,538.40 and 206,778.40

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Solution

The fourth proportional to 219,025.60, 328,538.40 and 206,778.40 is: 310,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,025.60 : 328,538.40 = 206,778.40 : x
  2. Step 2: Convert to fraction form
    219,025.60/328,538.40 = 206,778.40/x
  3. Step 3: Cross multiply
    219,025.60x = 328,538.40 × 206,778.40
  4. Step 4: Simplify right side
    219,025.60x = 67,934,644,690.56
  5. Step 5: Solve for x
    x = 67,934,644,690.56/219,025.60
  6. Step 6: Final answer
    x = 310,167.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.