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Finding the Fourth Proportional to 348,770.35, 523,022.73 and 206,655.73

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Solution

The fourth proportional to 348,770.35, 523,022.73 and 206,655.73 is: 309,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,770.35 : 523,022.73 = 206,655.73 : x
  2. Step 2: Convert to fraction form
    348,770.35/523,022.73 = 206,655.73/x
  3. Step 3: Cross multiply
    348,770.35x = 523,022.73 × 206,655.73
  4. Step 4: Simplify right side
    348,770.35x = 108,085,644,074.74
  5. Step 5: Solve for x
    x = 108,085,644,074.74/348,770.35
  6. Step 6: Final answer
    x = 309,904.91

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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.