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Finding the Fourth Proportional to 466,914.75, 699,249.83 and 266,628.75

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Solution

The fourth proportional to 466,914.75, 699,249.83 and 266,628.75 is: 399,302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,914.75 : 699,249.83 = 266,628.75 : x
  2. Step 2: Convert to fraction form
    466,914.75/699,249.83 = 266,628.75/x
  3. Step 3: Cross multiply
    466,914.75x = 699,249.83 × 266,628.75
  4. Step 4: Simplify right side
    466,914.75x = 186,440,106,777.47
  5. Step 5: Solve for x
    x = 186,440,106,777.47/466,914.75
  6. Step 6: Final answer
    x = 399,302.24

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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.