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Finding the Fourth Proportional to 476,282.59, 714,532.83 and 206,455.89

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Solution

The fourth proportional to 476,282.59, 714,532.83 and 206,455.89 is: 309,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,282.59 : 714,532.83 = 206,455.89 : x
  2. Step 2: Convert to fraction form
    476,282.59/714,532.83 = 206,455.89/x
  3. Step 3: Cross multiply
    476,282.59x = 714,532.83 × 206,455.89
  4. Step 4: Simplify right side
    476,282.59x = 147,519,511,351.87
  5. Step 5: Solve for x
    x = 147,519,511,351.87/476,282.59
  6. Step 6: Final answer
    x = 309,731.06

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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.