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Finding the Fourth Proportional to 331,817.90, 457,909.16 and 180,914.90

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Solution

The fourth proportional to 331,817.90, 457,909.16 and 180,914.90 is: 249,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,817.90 : 457,909.16 = 180,914.90 : x
  2. Step 2: Convert to fraction form
    331,817.90/457,909.16 = 180,914.90/x
  3. Step 3: Cross multiply
    331,817.90x = 457,909.16 × 180,914.90
  4. Step 4: Simplify right side
    331,817.90x = 82,842,586,696.36
  5. Step 5: Solve for x
    x = 82,842,586,696.36/331,817.90
  6. Step 6: Final answer
    x = 249,662.81

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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.