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Finding the Fourth Proportional to 271,810.40, 407,715.60 and 231,569.60

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Solution

The fourth proportional to 271,810.40, 407,715.60 and 231,569.60 is: 347,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810.40 : 407,715.60 = 231,569.60 : x
  2. Step 2: Convert to fraction form
    271,810.40/407,715.60 = 231,569.60/x
  3. Step 3: Cross multiply
    271,810.40x = 407,715.60 × 231,569.60
  4. Step 4: Simplify right side
    271,810.40x = 94,414,538,405.76
  5. Step 5: Solve for x
    x = 94,414,538,405.76/271,810.40
  6. Step 6: Final answer
    x = 347,354.40

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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.