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Finding the Fourth Proportional to 476,660.80, 713,902.14 and 227,517.76

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Solution

The fourth proportional to 476,660.80, 713,902.14 and 227,517.76 is: 340,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,660.80 : 713,902.14 = 227,517.76 : x
  2. Step 2: Convert to fraction form
    476,660.80/713,902.14 = 227,517.76/x
  3. Step 3: Cross multiply
    476,660.80x = 713,902.14 × 227,517.76
  4. Step 4: Simplify right side
    476,660.80x = 162,425,415,752.01
  5. Step 5: Solve for x
    x = 162,425,415,752.01/476,660.80
  6. Step 6: Final answer
    x = 340,756.81

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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.