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Finding the Fourth Proportional to 271,497.60, 407,246.40 and 113,709.60

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Solution

The fourth proportional to 271,497.60, 407,246.40 and 113,709.60 is: 170,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,497.60 : 407,246.40 = 113,709.60 : x
  2. Step 2: Convert to fraction form
    271,497.60/407,246.40 = 113,709.60/x
  3. Step 3: Cross multiply
    271,497.60x = 407,246.40 × 113,709.60
  4. Step 4: Simplify right side
    271,497.60x = 46,307,825,245.44
  5. Step 5: Solve for x
    x = 46,307,825,245.44/271,497.60
  6. Step 6: Final answer
    x = 170,564.40

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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.