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Finding the Fourth Proportional to 492,123.72, 737,923.02 and 254,877.96

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Solution

The fourth proportional to 492,123.72, 737,923.02 and 254,877.96 is: 382,180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,123.72 : 737,923.02 = 254,877.96 : x
  2. Step 2: Convert to fraction form
    492,123.72/737,923.02 = 254,877.96/x
  3. Step 3: Cross multiply
    492,123.72x = 737,923.02 × 254,877.96
  4. Step 4: Simplify right side
    492,123.72x = 188,080,313,974.64
  5. Step 5: Solve for x
    x = 188,080,313,974.64/492,123.72
  6. Step 6: Final answer
    x = 382,180.96

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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.