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Finding the Fourth Proportional to 271,409.40, 407,114.10 and 187,428.60

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Solution

The fourth proportional to 271,409.40, 407,114.10 and 187,428.60 is: 281,142.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,409.40 : 407,114.10 = 187,428.60 : x
  2. Step 2: Convert to fraction form
    271,409.40/407,114.10 = 187,428.60/x
  3. Step 3: Cross multiply
    271,409.40x = 407,114.10 × 187,428.60
  4. Step 4: Simplify right side
    271,409.40x = 76,304,825,803.26
  5. Step 5: Solve for x
    x = 76,304,825,803.26/271,409.40
  6. Step 6: Final answer
    x = 281,142.90

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Why These Related Problems?

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