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Finding the Fourth Proportional to 377,311.50, 565,830.23 and 206,659.89

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Solution

The fourth proportional to 377,311.50, 565,830.23 and 206,659.89 is: 309,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,311.50 : 565,830.23 = 206,659.89 : x
  2. Step 2: Convert to fraction form
    377,311.50/565,830.23 = 206,659.89/x
  3. Step 3: Cross multiply
    377,311.50x = 565,830.23 × 206,659.89
  4. Step 4: Simplify right side
    377,311.50x = 116,934,412,057.18
  5. Step 5: Solve for x
    x = 116,934,412,057.18/377,311.50
  6. Step 6: Final answer
    x = 309,914.78

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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.