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Finding the Fourth Proportional to 271,882.40, 407,823.60 and 205,527.20

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Solution

The fourth proportional to 271,882.40, 407,823.60 and 205,527.20 is: 308,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,882.40 : 407,823.60 = 205,527.20 : x
  2. Step 2: Convert to fraction form
    271,882.40/407,823.60 = 205,527.20/x
  3. Step 3: Cross multiply
    271,882.40x = 407,823.60 × 205,527.20
  4. Step 4: Simplify right side
    271,882.40x = 83,818,842,601.92
  5. Step 5: Solve for x
    x = 83,818,842,601.92/271,882.40
  6. Step 6: Final answer
    x = 308,290.80

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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.