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Finding the Fourth Proportional to 409,847.08, 565,679.22 and 266,357.80

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Solution

The fourth proportional to 409,847.08, 565,679.22 and 266,357.80 is: 367,632.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,847.08 : 565,679.22 = 266,357.80 : x
  2. Step 2: Convert to fraction form
    409,847.08/565,679.22 = 266,357.80/x
  3. Step 3: Cross multiply
    409,847.08x = 565,679.22 × 266,357.80
  4. Step 4: Simplify right side
    409,847.08x = 150,673,072,544.92
  5. Step 5: Solve for x
    x = 150,673,072,544.92/409,847.08
  6. Step 6: Final answer
    x = 367,632.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.