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Finding the Fourth Proportional to 476,950.88, 714,893.42 and 206,767.10

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Solution

The fourth proportional to 476,950.88, 714,893.42 and 206,767.10 is: 309,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,950.88 : 714,893.42 = 206,767.10 : x
  2. Step 2: Convert to fraction form
    476,950.88/714,893.42 = 206,767.10/x
  3. Step 3: Cross multiply
    476,950.88x = 714,893.42 × 206,767.10
  4. Step 4: Simplify right side
    476,950.88x = 147,816,439,262.48
  5. Step 5: Solve for x
    x = 147,816,439,262.48/476,950.88
  6. Step 6: Final answer
    x = 309,919.63

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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.