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Finding the Fourth Proportional to 411,025.60, 616,538.40 and 145,086.40

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Solution

The fourth proportional to 411,025.60, 616,538.40 and 145,086.40 is: 217,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,025.60 : 616,538.40 = 145,086.40 : x
  2. Step 2: Convert to fraction form
    411,025.60/616,538.40 = 145,086.40/x
  3. Step 3: Cross multiply
    411,025.60x = 616,538.40 × 145,086.40
  4. Step 4: Simplify right side
    411,025.60x = 89,451,336,917.76
  5. Step 5: Solve for x
    x = 89,451,336,917.76/411,025.60
  6. Step 6: Final answer
    x = 217,629.60

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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.