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Finding the Fourth Proportional to 476,950.38, 714,892.68 and 206,766.60

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Solution

The fourth proportional to 476,950.38, 714,892.68 and 206,766.60 is: 309,918.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,950.38 : 714,892.68 = 206,766.60 : x
  2. Step 2: Convert to fraction form
    476,950.38/714,892.68 = 206,766.60/x
  3. Step 3: Cross multiply
    476,950.38x = 714,892.68 × 206,766.60
  4. Step 4: Simplify right side
    476,950.38x = 147,815,928,808.49
  5. Step 5: Solve for x
    x = 147,815,928,808.49/476,950.38
  6. Step 6: Final answer
    x = 309,918.88

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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.