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Finding the Fourth Proportional to 494,644.07, 741,461.72 and 194,958.25

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Solution

The fourth proportional to 494,644.07, 741,461.72 and 194,958.25 is: 292,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,644.07 : 741,461.72 = 194,958.25 : x
  2. Step 2: Convert to fraction form
    494,644.07/741,461.72 = 194,958.25/x
  3. Step 3: Cross multiply
    494,644.07x = 741,461.72 × 194,958.25
  4. Step 4: Simplify right side
    494,644.07x = 144,554,076,544.74
  5. Step 5: Solve for x
    x = 144,554,076,544.74/494,644.07
  6. Step 6: Final answer
    x = 292,238.57

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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.