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Finding the Fourth Proportional to 511,244.98, 705,523.01 and 281,811.12

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Solution

The fourth proportional to 511,244.98, 705,523.01 and 281,811.12 is: 388,902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,244.98 : 705,523.01 = 281,811.12 : x
  2. Step 2: Convert to fraction form
    511,244.98/705,523.01 = 281,811.12/x
  3. Step 3: Cross multiply
    511,244.98x = 705,523.01 × 281,811.12
  4. Step 4: Simplify right side
    511,244.98x = 198,824,227,164.29
  5. Step 5: Solve for x
    x = 198,824,227,164.29/511,244.98
  6. Step 6: Final answer
    x = 388,902.06

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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.