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Finding the Fourth Proportional to 476,198.42, 714,406.72 and 206,371.86

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Solution

The fourth proportional to 476,198.42, 714,406.72 and 206,371.86 is: 309,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,198.42 : 714,406.72 = 206,371.86 : x
  2. Step 2: Convert to fraction form
    476,198.42/714,406.72 = 206,371.86/x
  3. Step 3: Cross multiply
    476,198.42x = 714,406.72 × 206,371.86
  4. Step 4: Simplify right side
    476,198.42x = 147,433,446,688.70
  5. Step 5: Solve for x
    x = 147,433,446,688.70/476,198.42
  6. Step 6: Final answer
    x = 309,605.07

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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.