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Finding the Fourth Proportional to 659,141.10, 989,039.70 and 259,794.90

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Solution

The fourth proportional to 659,141.10, 989,039.70 and 259,794.90 is: 389,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,141.10 : 989,039.70 = 259,794.90 : x
  2. Step 2: Convert to fraction form
    659,141.10/989,039.70 = 259,794.90/x
  3. Step 3: Cross multiply
    659,141.10x = 989,039.70 × 259,794.90
  4. Step 4: Simplify right side
    659,141.10x = 256,947,469,957.53
  5. Step 5: Solve for x
    x = 256,947,469,957.53/659,141.10
  6. Step 6: Final answer
    x = 389,821.65

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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.