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Finding the Fourth Proportional to 277,232.85, 416,549.97 and 266,022.81

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Solution

The fourth proportional to 277,232.85, 416,549.97 and 266,022.81 is: 399,706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,232.85 : 416,549.97 = 266,022.81 : x
  2. Step 2: Convert to fraction form
    277,232.85/416,549.97 = 266,022.81/x
  3. Step 3: Cross multiply
    277,232.85x = 416,549.97 × 266,022.81
  4. Step 4: Simplify right side
    277,232.85x = 110,811,793,524.82
  5. Step 5: Solve for x
    x = 110,811,793,524.82/277,232.85
  6. Step 6: Final answer
    x = 399,706.58

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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.